{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#导入Matplotlib 库\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#用 plot 方法画出 x=(0,10)间 sin 的图像\n",
    "\n",
    "x = np.linspace(0, 10, 30)\n",
    "plt.plot(x, np.sin(x));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#用点加线的方式画出 x=(0,10)间 sin 的图像\n",
    "plt.plot(x, np.sin(x), '-o');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#用 scatter 方法画出 x=(0,10)间 sin 的点图像\n",
    "plt.scatter(x, np.sin(x));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#绘制一个柱状图\n",
    "x = [1,2,3,4,5,6,7,8]\n",
    "y = [3,1,4,5,8,9,7,2]\n",
    "label=['A','B','C','D','E','F','G','H']\n",
    " \n",
    "plt.bar(x,y,tick_label = label);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#水平方向柱状图\n",
    "plt.barh(x,y,tick_label = label);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#绘制 x=(0,10)间 sin 的图像，设置线性为虚线\n",
    "\n",
    "x = np.linspace(0,10,100)\n",
    "plt.plot(x,np.sin(x),'--');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#设置 x,y 轴标签\n",
    "x = np.linspace(0.05, 10, 100)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y, label='sin(x)')\n",
    "plt.xlabel('variable x');\n",
    "plt.ylabel('value y');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#显示网格\n",
    "x = np.linspace(0.05, 10, 100)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#在一张图里绘制 sin,cos 的图形\n",
    "x = np.linspace(0, 10, 1000)\n",
    "fig, ax = plt.subplots()\n",
    " \n",
    "ax.plot(x, np.sin(x), label='sin')\n",
    "ax.plot(x, np.cos(x), '--', label='cos')\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QYJK8CPgc8O4Ff9udCFX1dLe0uha4IMmrx52pV5K3AIeras+4sxzPSffP7FXVGwac+mngDuD9I4zT11IZk2wG3gJcXGP4osEy/htOEi9psQqSnMZ8sd9aVZ8fd57jqaqfJvka8+9jTNKb1BcCb01yKfB84DeS/HNV/emYcz3LSXfmfjxJ1vfsvhX47riyLCbJJcBfAG+tql+OO89JxEtaDClJgJuBfVX10XHn6SfJ1NFPkCV5AfAGJuz3cVVdX1Vrq2qa+V+HX520YofGyh3Y1i0vPAS8kfl3syfN3wEvBu7qPrL5D+MO1CvJ25LMAr8P3JHkS+POBPOXtGB+me1LzL8RuPMEXNJiWZJ8Bvh34HeTzCa5etyZFrgQeDtwUfdr78Hu7HOSnAPc0/0e/ibza+4T+VHDSeflBySpQa2duUuSsNwlqUmWuyQ1yHKXpAZZ7pLUIMtdkhpkuUtSg/4Pglv6nyVsC1oAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#绘制 1000 个随机值的直方图\n",
    "data = np.random.randn(1000)\n",
    "plt.hist(data);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#在一张图中绘制 3 组不同的直方图，并设置透明度\n",
    "x1 = np.random.normal(0, 0.8, 1000)\n",
    "x2 = np.random.normal(-2, 1, 1000)\n",
    "x3 = np.random.normal(3, 2, 1000)\n",
    " \n",
    "kwargs = dict(alpha=0.3, bins=40, density = True)\n",
    " \n",
    "plt.hist(x1, **kwargs);\n",
    "plt.hist(x2, **kwargs);\n",
    "plt.hist(x3, **kwargs);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#绘制一张二维直方图\n",
    "mean = [0, 0]\n",
    "cov = [[1, 1], [1, 2]]\n",
    "x, y = np.random.multivariate_normal(mean, cov, 10000).T\n",
    "plt.hist2d(x, y, bins=30);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#展示色阶\n",
    "x = np.linspace(0, 10, 1000)\n",
    "I = np.sin(x) * np.cos(x[:, np.newaxis])\n",
    " \n",
    "plt.imshow(I)\n",
    "plt.colorbar();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#创建子图\n",
    "ax1 = plt.axes()\n",
    "ax2 = plt.axes([0.65, 0.65, 0.2, 0.2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#在 2 个子图中，显示 sin(x)和 cos(x)的图像\n",
    "fig = plt.figure()\n",
    "ax1 = fig.add_axes([0.1, 0.5, 0.8, 0.4], ylim=(-1.2, 1.2))\n",
    "ax2 = fig.add_axes([0.1, 0.1, 0.8, 0.4], ylim=(-1.2, 1.2))\n",
    " \n",
    "x = np.linspace(0, 10)\n",
    "ax1.plot(np.sin(x));\n",
    "ax2.plot(np.cos(x));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#创建一个三维画布\n",
    "from mpl_toolkits import mplot3d\n",
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#绘制一组三维点\n",
    "ax = plt.axes(projection='3d')\n",
    "zdata = 15 * np.random.random(100)\n",
    "xdata = np.sin(zdata) + 0.1 * np.random.randn(100)\n",
    "ydata = np.cos(zdata) + 0.1 * np.random.randn(100)\n",
    "ax.scatter3D(xdata, ydata, zdata, c=zdata, cmap='Greens');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kWwKlBA25XA40TYu6sMnTWTheMBiE3W6HRqPBtm3b8harCEmLiTDEki55WBw+fBjNzc1FirVaxqz02VmWrXr89ZJChmaxGM7CE0pjNrGCQCKLQDyHQCKLYDyLQDyL1WQOkVQOWaY6uasUS9CrFdCpldCpFdCqFFArFVBQgIKiQF1+VVCXc/YUwHJAMssix9CIJjmsMknkGA45hkWO4ZDOMUjlyLnMAYgB8OftV0kBrTolzAY1WnVKGJQMxjwOdLdo0dOiQ0+LDt0tWujV4iNO0metXoj5HsWgFmFEOTI+deoUWltbkcvl8shYGBmr1WqoVCo5p7vVQMq+GIYpEjSoVCpJyjEy3srKChwOBwwGA6ampop6eQGQ5JNbLXXBcRyWl5fhcDjAMAymp6eh0+mqHm+tudpYLIa5uTkkEgl+0YosQBVWBFSLlGmWgzeShjOYwlI4DW8kDU8kw78GEkIl0gqAtajTatDAatSgu0WHHd0mtOhVaNap0KxXoVmnRrNOhRadCiadCk0aJZhMCj7vEnbv3FHTZyaYmZnB/v37S36ORIZGPMMgfvk1kaERzdAIxjLwRZLwRVNrD4poErYMh/92LaLwOWFuUmPArMewRY9hSxNGrE0YtjSht1UHpSL/AUZIqF7Ukrpaz3HIg9pqteYJYAoj4zNnzuC+++6D1+vFW9/6VuzYsQO33XYbXv/610va3wc/+EE8/fTT6OjowLlz5/L+9qUvfQmf/vSn4ff78/LXUiGTLkqbhhfmbFUqVZE5R6XxhFFmqSm9EFJ8EsoRJMuyWF5ehtPpRFtbG/bu3YsTJ05UJVygtrQBkQYzDIPR0VH+85EbIR6PY3V1FYlEAsCa65hSqUQ2m8VKKAZ3nIUzmIJjNQlnMIWF1RRcqynQ7JXjUCspdDdr0d2iw6vH2tDTooNJkYVBQWP3tkFYDGuEKjWCjnEZqJXr58ilUlBo0avRoq+ukgsGgwiHw+jt64fTF4LTH8PiahyecBorCQb+ZAK/CcTx0/SV71yrUmCi04CpLhOmuo2Y6jJCQTcmLXC1It1KKJXTLYyMBwYGcOedd+LVr341vvWtb+HChQs17f/9738/PvGJT+C9731v3u8XFxfx7LPPYmBgoK7PArzCSbdch4ZSKEwZlALLsvB4PHC5XKKjTDK2WNIt3Jbsc2FhoaQXg5iFGimRLsMwOHXqFGiaxujoKNra2vha2MIbgeU4LIXSeNkXwx/cEZx3hzEfTCOQOnnl81BAT7Mag2YdXjXchdEOI4YsTehv1cFi1EBRcOx+vx/xeBzD1vIPsa0EMqPSaTWYHOjE5EAn/zdyXhOJBJZXo5hbjsIRTMIVZbAYT+Jnp+P40fG1h5RGCezqCuPQWAL7B1uxs9sEjUo6CTeKLBtJuoC41BS51vv6+tDX11fTfm6++WY4nc6i33/qU5/CQw89hLvvvrumcYV4RZIumZoEg0HeKatalKBSqYpaXhMwDIOlpSUsLS2ho6MD+/btw7Fjx0QRLiDd9IZlWbAsC7fbDZfLhfb2duzfvx8ajSZvWxLBNoJ0ScufdDqNnTt3Fi1WUBQFfyyDs54Y/3POE0Miu/a5FBTQ36rFuEWDd412Y7zDgCGzFi1qFulkgo+Os9kQ4FchlDIiK6iVbcRUdTOikqhBWGNsNpsxNXblPZlMBrF4HHPeCM55IjjrjWM+ksA//zYBYAFaJYU9fSa8drIdrxm3orNZXOphM0a6YpFOpyvOKGvFz3/+c/T29uK6665ryHjX5pVcBkJBQzabhcPhEJ2bUalU/FSZgKZpuFwueDwe9PT04MCBA3nkIHZlWqpPwvLyMmZnZ9HR0VGSbAkImVY7hkqih3g8jvn5eeRyOYyOjiKZTKKtrQ0sy+GiL44jzhBOuMI4vRTBcnTtoaRSUBjvMODNuzqwo8uE8Q4DRtqbkEsl4PF4MDlZMEVryVfA5XI5noSXl5cRj8f5nCX5LLFYDAaDoaYpdSPtC+tFLVUHwhlFu9WKG3cBFy9eRFdXF5KMAodtfswshDGzFMcXn4nii8/YMNKqxKsGjXjjDiuGOlrLCj4aVb1wNUg3HA433F0smUzii1/8In796183bMxXBOmWEjRoNBrROVognxiz2SwWFhawsrKC3t5e3hdBCLLwJpZ0q0WaJJr2eDywWCxVXcaA2jtCAMVk29rahksrcfx6IYcfLJzGzEIIkdTa+ett1WG6rxk7e0zY3WvCZKcRuhIr73RaXO5YrVYXeSuQqbbb7UYkEsHi4mJFBdlmIdVqaKT3glKpRHeLEW81m/DW/WtjO4IpPH/Rj+dfDuB7pyN4/EwEu9rVeFU3hekOBYyC+mKDwVC21KuW4ykXDEiBlIfSelQu2Gw2OBwOPspdWlrC3r17cfTo0SKLUrG4pkm3kqChFserTCaDixcvIhAIVPVFICQtxnKwUqTLMAwWFxextLSE7u5uDAwMoKmpSdS4tXT5Jb6smUwG1t4hnAsy+NELHvzedhbh5JqAYsAcxx3bO3DDUBtuGGpDV7O2qGtso0Gm2iSSGRkZAXBFQRaPx/nIOJVK8e1xhJUU62mMXivWUxxBURRGrE0YsQ7iIzcNwrWawlNnfPj5WR++cTqDgTYd/my6Cbe2aRGNRuH1enmTeqPRmOfYJkXwAazNAhsx1Zfqu9BoYcSuXbuwsrLC/39oaAjHjh2TqxeEKNehoZ4LO5VK8Y5fU1NT2LZtW9XopBZzciFomsbi4iLcbjd6e3tx8OBBqFQqLCwsNMycXLhdLpfDqVOncMmfgotuxjF3Fqf+8ww4DjAb1LhlmwU3jlqgDNjwJ7fflPd+sQ+v9VCkCRVkQpBWSPF4PM8YXaVSQa1WI5fLIRwOXzUvXoJGiiOqjTNg1uP/uXUIf3XzIJ6/GMB3/7iIh15YxA/bdLjn9hG8ZucwTp06he3btyOXyxWdu0JTeYPBUPZB1kgvXbHjhMPhuiPdd73rXXjxxRcRCATQ19eH++67Dx/60IfqGrMQ1wzpVuvQUAuEjRd7e3uRy+XQ09Mj6r21ViTQNI2FhQV4vV709fUVpS6kVBqISVvE43H815ELeNEexfmoBt5oFkACu3qb8fFbhnHLuBU7u5uhuFwX+tJLjrJjVYvaNlIGrFQqYTKZYDKZ8n6fy+WwsrICn8+X58UrLLQX4wfQKFwNGbBSQeHO7e24Y9KKl+wh/ONzdnzyyQu4dZsF/6N/bXam0+mKzh1N03lm6C6XC9lsFiqVqkgK3cgqiI20dfzhD39Y8e+lKhukYsuTrlDQcOrUKezevVsS2Za66MlKfTabxfDwMKxWKxiGgcfjEX1cUkk3lUphfn4ePp+vJNkKty1XRVGISgR92unHD/4whz8sphBIcVBSwI2jJnz81g68ZsIKq7H8anfhOSPnWwyhXm3vBWJ0Ho/Heb/jQvtHki8m3RWEKYpG54s3MtItBEVRuGnUjBuGWvHEjAdfe9GB0y4O/zqSwkRnsYhHpVKV7PBBFj5JN2OHw8Gne5qbm/NyxlKrUKT6Lmx2NRqwhUm3VI1tJpMBy7KivyQieCDTy3A4DLvdDpZlMTIykufLKtWuUUxdL7C2KOfz+bC6uoqxsbGq/rlSzcmFxxxO5vCT4y48eXwRthANpQK4acSCOyataM968JqbpquOKbYMrdx7NwNKPTQK7R/JdqUcx0hKI5vNIhgM1pUv3gyGN2qlAu872Icbhlrx0cdP4AOPn8H33nsdxtoN4t5fYuHzzJkzGB4e5lsuCatQNBpNUYePclGx1Jxud3e3qG2vJrYc6VYSNJBcnRTSzeVyiEajsNvtUKlUGB0dLZmMl3pjVJMNCztDWCwW9PT0iFK7SC0vYxgGx11hPPaSE89fDIBmgTGrDp97/TD+ZHc3zIa1Ko7jx8VF8WLL0Modz3qamDca5RzHSL44HA4X5TyFUbGYfHEjW6fXS97bu4z4X/u1eOgki7958gKe/PDeklUoYkDTNHQ6HdRqdV5Nt1DwEY/H4Xa7iywfhf6711rXCGALki5xHSolaJAq1aVpGqdOnYLBYMDk5GRRDqselCPHTCYDp9OJYDCIwcFBjI2NIRKJNLwNTybH4DfOFH757Czmgxk0qYC37LTi3YdGMNWTPz2UEj3XQ5yNIN3N0GaH5IvVanWe8TuJ6khUHI/HQdN0xciukTXDjRinvUmBf7hrHB/74Vk8eXIZ77mht6ZxKpmhCwUfBOXM0DOZDB9MCVM8pR5UMumuE0i/+1IgX04lcBwHn88Hh8MBmqYxNja2LlOSQtIVtuEZGhrKq4CoRZFWDrE0jR8cXcQjLy0gnKLRY6Bwz629eNehMRh1paMuKWRYuC3LslhaWsLi4mLJSO9aVpIVolQjzUqRnV6vRyaT4cUO5cik1uOpFTeOtGGqy4hfz/prJl0Akj5LOTN0h8MBlUoFnU7Ht5ZPJpMAkNdafmVlRSbdq4FKkS7LsvB6vVhYWEBbWxv27NmDxcXFmszAxdo7ZjIZpNNp2O12hMNhDA8Pl2zDU4/3AkEomcX3Di/ie4ddiGcY7G5X4pP723DLZBd6eyvfOFIiJKEMmXg+dHZ2Ynp6GizL8pGKsDGkTqfjzb2FaaGtDLGfoVJkl0qlMDc3h0wmA4fDwXeoqMcUvR4IiXt7lxEvzgUbMlY9YBgGLS0tMJvNJU3lE4kEVlZWcO+992J2dhZ//ud/jp07d+Lmm2/GRz7yEUn7KuUw9ulPfxq/+MUvoNFoMDo6ikceeaRuYr/mSVcYiRUawkhJRwDSujYwDAOv14vl5WUMDw9j+/btdXWaICiMdFNZBo/8cQH/+nsnklkW+zqV+MtbxvCqqUEsLCyI+2ASsby8DI/HA6vVysuQs9ksOI5DW1tbUQ4vnU4jHo8jGo0imUzi2LFjfL6UFOGTxaiNwGbobUY+v06nQ1dXFx8dsyzLl2VFIhG43e68GlnhTEKYL270Ypw7kobZsDHfRyWUu98UCgX/YOro6MBTTz2F2267Dc899xwWFhYQCoUk76uUw9gdd9yB+++/HyqVCp/5zGdw//3348EHH6zrM2050q10cQnTCzRNY2lpCW63G52dnSVls1JJl2xfiXRJg8lQKASDwYDp6WlRnSak+ukyLIenTnvx5efm4Y9ncX2nEn/9mnEcmOzn91ePT24hSFomFApBq9Vi3759okhSOG1sbW1FNBrF9PR0nnhBWPNJSrqEBFOYG7zaZWeNROFCmkKh4B9CQgjzxaQsi1TeGI1GfkG4UiVANZA87Lw/gSOOMD5yU202ho38fqSII3K5HG+lWgtKOYzdeeed/L8PHjyIJ598sqaxhdhypFsJKpUKyWQSNpsNXq8Xvb29RSY0hduLrXkFKkekQiHF6Ogoent74fF4RKcipES6ttUs/v6bhzHrS2CkRYH//dZR3H7dUNG+pPj0lgPHcfD7/bDZbPw0b2hoqKyjmViUEy9Uyn8ajUZebXi1UxSN2r/YcUrli4G18xWLxbCyslJUCVBYX1wtx8owDDKsAv/nZy+jRa/Cn+8XJwQq9ZkaUZEBiC8Z24gH8Xe/+128853vrHucLUe65S5QUu8aCASwbdu2suICIUo5h1XbvjAyjsfjsNvtSKVSGB0dhcViAUVRiMVikkq7xESkqSyDrzw3j+8fjcOkpfD5O/rxZzeWlyQTeW8tEDayNBqNfLufM2fOrGv1gkajgUajKUpRkPyd3+9HJBLBzMwMP8UU+gSIib43Q3qBoN6SMXKutFottm/fzh8bSemQc1bY0ZicL51Ox38OfyyDBw7H4Yww+Pqf7oClxvRCo0xzyFhS1l3W60H8xS9+ESqVCu9+97vrHmvLkS6Qf/MKqwLa29vR0dEh2t29lpwu2V6oWhsdHeV9eYXbSiHdajhm9+Oe/zgHb5zBq3sU+NJfvAqtTZVvilrTC6RFu06nK+p6UckGshpqLRkT1ssqlUpoNBqMjY2BYRg+Kg4EAnA6ncjlcnklWusl6d3oSLcSColbmNIpXHwS5os9Hg/S6TSUSiXmYip843gMiSyLB+4ax6vHzKV2JQqNatVDjlnMQymdTjekXVEpPPbYY3j66afx/PPPN+Q735KkC1zJncZiMQwNDWFychLJZK1ZILAAACAASURBVBJzc3Oix6glpxuLxeByufjOCcIV6XrGLodUKoWv/uosvn86CqtBjUffuxuc72JVwgWkk24oFML8/DzUanXZfm5io/JyaOQ0UKlUlpSlEklvPB4vsoA0Go28R0c9hLdZIl0pY5TKFy+spvDVF+x47mIQvSYV/maPCh1ZL44edYnKr5fC1egasR4OYwDwq1/9Cg8++CB++9vfNswgfUuS7uzsLCKRCIaHh7Fjxw7+SxFTpyuEFGKMRCLw+XygKApTU1NV2zxLlQ0XIp1OY/bSPL70ez+O+RjcMdmOL75lCi16NV7yiRtDLOlGIhEkk0k4HI6qIpF6xREbAY1GA7PZnPdALCwxisVimJmZyasKEKsiAzZ3pCsGl1YS+M5LLvzqgh8apQKfuGUQd403IRmLYnR0FADy/CiEXXiJcoycL2HzUeDqGJg3oka3lMPY/fffj0wmgzvuuAPA2mLaN7/5zbr2syVJd3h4uKTWvdZqhEoIh8Ow2WwAgPb2djQ1NVUlXKD2qT1JlziWV/HN88AlP4PP3LkNH7hxQPLNWVVIcbmTL8dx0Ol02LNnT9Wb92or0oDaomVhiRHx2h0ZGSmrIiOuY4SMC4llK0a6ySyDZ2b9ePKkF2fcMejVCrzvQB/ee6APVqMGfr8/b5xSDy+hcoykdYhYgeSLib1qvedIyvccjUbrjnRLOYw12tYR2KKkq9frS5KJ1HxjJdINhUKw2WxQKpUYGxtDS0sLPB6P6GoHqRcby7KYnZ1FKBSCsaMPXzm9ikAii2+86zrcPtlefYASKEe6wq4QY2NjaGtrw5EjR0Sdu3rK0BpBUo2OliupyEiKIhgMFhGLWq0Gy7INIZb1jHRjaRq/m1/Fcy8H8HvbKtI0iyGLHvfcPoK7d3eitelKVC8mQi2nHCP5YjKTSCQS/EyilJl8vZ+rEOFweF3SC+uBLUm6jbrxSpH06uoqbDYb1Go1JiYm8qbaYp3DpCCTyfDVD83NzWjpHsJ7Hz2BUDKLR967F3v6a7+QCgkymUxifn4e6XQaY2NjeREMydWKuem2ep2sGN/fUq5jwoWocDicl6IQijykyJ9r6ZFWagxCTjTL4bw3hsOOEA47wji1FAXNcmg3anD3dZ14w1QH9vY3N9x4XJgvZlkWLS0tGBgYyFvsDAaDWFhYQC6Xg1qtzktRlDpn16LZDbBFSbfR4DiOJ1utVls2r1nNOUwKiPRzdXUVw8PDiMfj0De34X3fO8UT7u6++p7chHRTqRRsNhvi8TjGxsb4srZS21ZDOdLd6rJeMRASCyGXqampso00hbnPSrWy9Zy7cDKHl+xhzNgTWDpxBuc8McQzDCgAk11G/MWBXtw2bsHu3uaidvaFkGKLWgnC6oVKi53knBVKxoWmQBvZNWKjsCVJt9JFSgQBYr4s4jR29OhR6PX6siv2BLVUJBRGVUKyHRoawsTEBCiKgsfrxT0/mYUtkMS337OnIuGSqLTa1Iu0pDl16hRGR0fzFh0LITY1U0jOQvEEy7J5pFQoVb1WUa6RZiaT4VMUwlpZYYQn9iGepVk4gklcWklgzp/A3Mrajy+WBbDW4n6iw4g37ujA/sFWHBhqRVuTtHNPOi7XCzG9AcvVY5NzlkgkEAqF+NlEoZm8sL4YWMvpCh3fNjO2JOlWAiHGSqRLiMJutyOXy2Hv3r0VyZZAakUCISilUsm3fA8Gg3lkS/Bf9gz+YE/g82+axI2jlgqjVve0JcQeDAahVqtx8ODBqtGU2FIwYaQbDAYxPz8Pg8GAXbt2QaFQ8NNvoVRVq9XmkUy9i0f1pjc2QhxBnMN0Ol1R7pOYAoVCIWQyGczMzAAKJWhVE9KUFuGcAv4U4IlksRROYTGUxnI0A/KpVYq1hpP7Blsx3mHAgIFFjy6HqfH6SKdR3r61pikKz5nJZMLq6ipGRkb45qOxWAxerxfpdJpfHH3uuedgs9kwOjpa83dbyuxmdXUV73znO+F0OjE0NIR///d/F7WIXg3XHOmSsrFST2yO47CysgK73Q6TyYTdu3fj3Llzop/utYgpUqkU3G43T7bj4+NFF8X8Shw/PJ/AzaOteNf+6lZ65Yx3iDF6IBDA0NAQhoeHcebMGVEXoZT0AlkkUavV2LlzJ9+6m6bpoqmkcFEqFoshm83i+PHjAJA39Ra7wLJZ0hilbm6O45ChWWRoFukci2SOQSxNI3r5R/jvUDKHQDyLhRUFEiyDUDINIF8d2aIBOg1KTJi1eO2YBeNdLdjR24ohSxPUyivkuLKygmSy/jx7I/uaNaoppUqlyqs8KdxPIpGARqOBw+HAww8/jH/6p3/CwMAAnnrqKUn7KmV288ADD+D222/HZz/7WTzwwAN44IEH6ja7AbYo6Va68UoRo9BDt6WlhZe0CrcX2ypdLOlms1mkUimcOnUKw8PDFTsI/+Oz89AoKXzmtv6aCDKXy2FhYQE+nw+Dg4M4ePAgn2aR0tqnWgQZi8XgdrtBURR27dpVlKcrhcJFKb/fj/379xcZ3pAFFqImK1eq1QiU+pz/8nsXfjDjhlJBQaWg8l45ACzHAdzaKweAZlgwNA08cxjpy0SbocWda51KgRa9Cu1GLax6Cof6rGg3amA1atBu1KC3VYfeVh30agUv512bcocRcnoQcV0hIaPRiGw227A+a5uRdMuB5Is/9rGP4ciRI/j85z+PnTt3IhaLSd5XKbObp556Ci+++CIA4H3vex9uvfXWVy7pVgJpwQOs3VxerxdOpxNtbW2Ynp6GTqcr2l4skYpZSBNGmyQSrCQ2OO4K48VLAbx3TwtatCK7uV6OdGmahsvlgtfrRX9/f1F/NSmGN5XSC8KqB6vVCoPBIIpwq32GQsObSqVahGAANGQxs/DhNt5hwB2TVtAsB5rlwAheKQqgQEFBAaAABUUhl80ik0nD0toKrVoBnUoBrUpx+d9KaFUK6DUKNOvUaNap8n40qivf0czMDPbv31b2OEvJeQsfWMFgEAzD8P3ahBUBUsiPYZiGkHejvBfEBkPAWvUCmfo3qgOMz+fjGxx0d3djZWWlIeNuSdIVY+/odruxsLAAs9mc56FbCCmkW2m/wp5nQ0NDGBsbw+zsbFWCeOLoIlr0KrxlqlVSy5ylpSUEg0H09vbi4MGDZVujiEWp9EI6nYbNZkMsFuOrHtxud8PsIgtRrVQrFoshGAwiEong6NGjvExVSDS1ksat4xbcOl45ly5EKBTizZXqQS356cIHFqmKsFqteQqyQoc2co7KdTS+Gm3Tq41DZqTVICTdzY4tSbrlwLIs4vE4XC4Xuru7K5ItQb0eCUKyHRwczIs2qy28xdI0np314+17e9CkqR5FsyyLxcVF+P1+dHV1lSXbWiAkXeGi3+joKKampvibtF7vhVqPTZhu0Gg0GB8fL/JYII5xpczRhSSzmVzGGgFS6lVOQSZchFpeXkYqlSpyaCMlcFdzIa0QUup0M5mMaIIWi87OTni9XnR3d8Pr9aKjo6Mh414TpMuyLNxuN1wuF/R6PXp7e0VHILWSbi6Xg9PpxMrKShHZElQj3WMLIWRoFq/f0QmlorwVpPDzdXV1obu7G52dnQ03FaFpGvPz8/D5fGUX/TZDnS7ZfzmPBTL1DoVCWFxcLDJHJ33J6j2GzaKwq0SWQoc2IWkIRQuk0iQajeLChQswmUx5ZW1SiXijSXe9xDp33XUXHnvsMXz2s5/FY489hrvvvrsh425J0iUXqrAVT0dHB2644Qa+LbZYSCVdjuMwNzdXkWwJqpHuycUIVAoKu3ubEVxJFpn1cBwHj8cDp9PJfz61Wo1Lly41NNpkGAbRaBRerxcjIyMVP1M91o4bgXKdF4TmLaFQCKlUCn6/P2/qLaUfWaOi5Uaglgi1lGhhZmaGd+tLJBJ5s4fCFEVhnWwhGvEwkZobrmefpcxuPvvZz+Id73gHvvOd72BgYAA//vGPax5fiC1JugDgcrmwuLiIrq6uvFY8arVasumNGD8FEtkmk0loNJqKxERQjXSdwST6zXro1GvKm3Q6DWDtZlxeXobD4YDFYuH7kIkdVyyEETSZsvf0VO4WcDXSC42AMComD9re3l5+6i3sR6ZSqYpyxevhmtUICTAZp1EVHmThrjCnLjxPQh/eQuvHRophxOaGiay4HpQyuwGA559/vq5xS2HLkq5Wqy3ZikdYvSAG1bpHCMuxBgYG0NbWhs7OTlEXebUSs1AyB/NlX1xCpD6fD3a7Ha2trWVz0vX2PhNWdbS3t+OGG27A0tKS6O62mznSlQJh/WdnZyf/+1wux+eKhQtSxOzGZDJJavNUDo1qa9NI0i2FcudJ6NDm8/mQSCRA0zQvOxeayNdyfGLTC5FIpO5qmo3EliXd7u7uksTTKHtHmqbhdDrh8/nyyrFIeY7YsSvdnAoKoLFmgReNRuF2u5HL5UqWtgkhNdIlU2GhZLeQ1GtRpF2rUKvVJbsak2l3NBpFMBhEJpNZc4UrkD6LjYo3kz1kLSjl0MayLGZmZtDS0oJEIlHk0CacPVRL5Yh9KG0lsxtgC5NuOdRrZE7TNBYWFrC8vFyy9lUKqVcjx7YmDc4shXD06FGoVCqYzWbs2LGj6rhS62+JoQ+R7ArFIcIxxZBuue1Ylt2Qm78RpF8L2VEUldfy22AwIJ1Oo6enp6RxS2GuuFQOtFHn62qRbilwHAeVSgWr1VrS+pEscC4tLfGpnEITeanlZuvVNWK9sGVJt5Jxi5SpNyHRamRLICXKrLRtKBSCNhuGJ5LFtslpqBWAw+EQNa6UhpMsy+LYsWPQaDS8ZLfcmLVEuiRV4XA4eDKrRd671UA+azmzm1JeAYUWkCqVaktHuqVQrnKh3AKn0KGt0G0sk8nA5/NV7Wa8lRzGgC1MuuVQy0Uci8Vw5MgR9PX1Va19rTfSjUQimJubg1KpxM07B/GzuUt4OZDFnm59Q8icIBaL8SqyycnJvIWRUpCaXiDdgufn59Ha2oq9e/fy517on+p0OvNMb8hN1tTUtC5lZhzHIZllELnsdRDPMEhkaMQyDOKZtf+vrIaRpVloL6SRoVlkaRZZZs03gWGFD5T8sZUKQK1UQKNSgM6koVJwMF/MQaNSwKBRwqhVwai98mrSNqHZ0ozeAQ20KkVeDnR5eRnRaBSpVApnzpzJI+Ny4oVyaFT3iUZ8H1LLxSo9tE6fPs1XmZRyaCMP9K0kjACuQdIVCyKh9Xg8YFkWN910k6iLRYr/gnDbaDSK+fl5cByH8fFxNDc3YzLLQPuLeTw768f1fcOSfBLESHa3bdsGlmXLRrdixyzcLpVKYWZmhm/xQzp5EA+AUvJeYtnn9Xp50/ZCf1oS/ZUCy3EIxrOwLSfwsjuNo5ElBBJZrCZyaz/Jy/9O5qp6IFAANEoKGnUCWqUCGhUFjUoBjVIBpYKCkHqEPMSwHLIMhyzNIpXNIcdwoLkksjQLmq2c8jBqlbAYNLAY1JdfNbDqzVCmI9jT1w1aRfMLUqlUqqh3W8Vzs4Etf6qhETW6ZAah0+kwNDSUN3ZhDfZDDz3EV/n09PRg9+7dmJ6erlkR95WvfAXf/va3eX+RRx55pOL6Si3YsqRbrUaw3EUkJNu+vj4cOnQIR44cEX2hSDEyJwtpp06dAk3TGBsby3ui6zVKvHayHU+d8eKvbx2qK9ItJdmlKEoSmVbLlcbjcVy8eBHJZBLXX3+9aI270LJPq9Vi586doCgKDMPwVQI+nw/nLs7DG6MRotVYzSnhT1EIpFj44jn4opkCYotCraRgMWhgblLDbFBjtN0Ay+V/t+jUMOouR50aJYw6FUyXI9CAzwuKotDbW93RrRzcbjcA8GNkaJaPpONpGvEsjXiaQSSdQzCRQzCR5V9tgSQOO8OIpS8/vI/NAlgzwult1WHYYsSQWYceRoGObBZtkWXk0lem3YVRcSMIczM6jBWOU8qv44knnsCDDz7Iiz2+9a1v4eGHH66JdN1uN77+9a/jwoUL0Ov1eMc73oEf/ehHeP/731/vx8nDliXdSiApAGEukaZpLC4uwuPxoLe3F4cOHarp4hBb15tIJDA3N4dYLIZt27aVbdX+wZsG8ctzPvzbcQ+u04gj3XKS3ZGRkTzJbuG2lVApvZBKpTA/P49kMom+vj4Eg8GaTUUoikIokYUtmFoz5F5JwBFMwrWaRiCRvbzV2qtFr4RVD/TpOOwxq9DdokOnSYMmLoOb9k7BbBAnZFgPFK6sa1UKaFUaWKpPKnh4AyGcsbmhbeuGO5KGN5KBK5TCvD+B31wKgLn8jKEADFr02NFlwni7DsOUEt1s/LKlYxKpVAqXLl2CyWSq2Tx+PcmyFkjxb0in07j55ptx11131b1fUvKmVquRTCar1q3Xgi1LumLsHTUaDU+2brdbVM62GqrlU5PJJGw2G5LJJEZGRpBMJssSLgDs7GnGa8at+NbvF/CFQ+JuFKVSiVwuV1WyC9RXlZDNZmG32xEKhTA6Oor29nYkk0n4/X5Rx8lxHJbCaZzzxDDri+OSL4Hz7hTCzxzht2nVqzBibcKrRtswaNFj0KzHQJse/W16NGmufE+kdjYYDMLvj8Lx8jnYOa7IZ0GsN/JmkAE3qRUYbtNgvITRTpZm4QqlYA8kYQsk8fJyHMdcEfzy/Nq5V1Brzmj7Bi1oy6xgdHsXFHS6pHl8tXZBQGPTC40wu5HiuxCNRhuykNbb24t77rkHAwMD0Ov1uPPOO3HnnXfWPW4htizpVoJarUY6nYbP54Pb7RYV2Yq9icotpJHpPWkbYrVaQVEU5ubmqo557xvG8aZvHMb3L+TwptdUPg6GYeDxeBAIBGA2m6sq42ohXWElR2GXi0olW6vJHC4sJ3DOE8VZTwznPDGEU2vnSq2kMGptwpRFiQPjvZjoMmG8wwCrUSPqvJPaWSJ+2b59e0WfBWHUtx6evI1ApcUrjUqBsXYDxtrzQ+dAPIvz3rVze3Ipih+f8CJDs/jn0+cw2WXEq0fNuH1iGyY7DXmGQGQxqlR1iVqt3pTphY1uShkKhfDUU0/B4XCgtbUVf/qnf4rHH38c73nPe+oeW4hrjnRJbufs2bMYGBjAwYMHq355Uo3MhZEu6eYbDodLTu/FoN/chE/dPooHnpnDY3904f03DhZtI5Tstre3o62tDQMDA1XHlppeIPJq8qAqJCth7tcfy2BmIYQjjhCOOkOwB9aK4CkAo+1NeM24Bbt6mrGrx4TR9rVuBydOnMDu3b0NiYYq+SzEYrE8T15i/GIymZBMJtHU1FTXvhvVOl3qGFajBrdss+CWbWvRcYZm8ePnjyKq78IRZxjffsmFf/mDC13NWtw2bsHrptoxPTjI70e4GBUIBOB0OpHL5fjvdXl5ua4H1dVIUzSqeuG5557D8PAw7138tre9DS+99JJMugSFFyvDMFhcXMTS0hJ0Oh22bdsmOh8jhXTJtsJc6vDwMCYnJ+u6Cd9/aADPnrTjoWfnsa3TiJsu90krJdnlOA6nT58WNa4Y0iXiieXlZWg0mpLyagCIpnL47cUA/vNUHI4/vATHZZI1aJXY29+KN+9sx56+Fkx1GWHQlr60NkLRptFoYLFY8srkCNnEYjHe9Mbr9UKr1eZFxWLLtRpleFNvBK5VKTBhVmL//iH81c3AaiKL386v4oWLQfzHqWU8ccyDQbMeb7muE3fv6kS7SVuyumR5eZlX2ZUyjxdbcy2mKaUYSElTRKPRhpDuwMAADh8+jGQyCb1ej+effx779u2re9xCbFnSJSBk63a70d3djYMHD0o22pZSe8txHCKRCGZmZjA0NFSxDY8UUBSFD+7U4Ovnlfj4D0/ju+/diz5dtqRkl6bphpSXAeBrbfV6Pcxmc54lJsdxmPcn8OKlAH43F8BxVwQMy0GnAg4Mm/D26R7cMNyGqS4TFNRa3lVMA8xGKMqkQrjyTW7orq6uvHY4wnKtQsObQgLYrJ68ZoMGb72uC2+9rgvJLINnX/bjp6d9+NpvnPjGbxfw5p0d+MChfoxYr0T6FEXx52dw8MosizTRlNJSqZGRrthSLUKS9eLAgQN4+9vfjr1790KlUmF6ehof/ehH6x63EFuadBcWFrC0tITu7u686KwW05tqpEvynF6vFwBEuYwRiL25DBoFvv2ePXjXt2fwoceO4XOvNuPNB4olu1JVcaVINxKJ4NKlS9BoNNi9ezdYloXNZgPDcjjuCuNX53148VIA7vCa89lEpxEfvmkQN420gl2x4dDB6bzxpHS9qAeNIClC2hRFlWyHQ0QMRE1WKO01mUySrq9yWG8lWZNGibt3d+Hu3V1YWE3hBzNu/PTUMn52xofXT7XjU7cNo6dljdhKteopVXMNIC9X7HK58szjifLOZDIVmcdLgVQv3Uadx/vuuw/33XdfQ8Yqhy1NukqlsuRUmJR7iEUl0mUYJq+u9+DBgzh69KjoL7lc595S4DgOzpfP4H8dbMJDRyl84b/DMHfFcftkPunW04YnkUjwfrwTExNobm4Gw3L4w6Vl/PhkFCd//d/wx7PQqRW4ccSMj716CLdss6JLcHPOrJSONMU+XDaDYU616pdCIxehtDcSiSAQCMDv92NpaYknYqmm3xvpyTto1uNzrxvDX75qAI/PuPH9I268cDGADxzqx8deNSApQq1kHn/p0iUkEgnMzs7mmcdLbakkNWLeLF08xGDLki5FUejv7y950TXCaYy0xllaWkJPT0/NpWZETFGJdIWS3d27d8NqtWLvdVl87Aen8IkfncbfvnYMH75psKYLi5jjpNNpzM/PI5FI8HXDjkAC335uHj877YUvmoFGCbxmogOv39GBW7ZZS+Zly6UHkskkX79baRFmq7qUlerA0NraiubmZt5jobBlkDBXXCoX2ohIVypxmw0a/PWtw3jH3m585QUHvvV7F35vW8Unb2jBsFVCkXEByKKmRqPB0NAQv1BZa0slsZFuo+qCNxJblnQroR6nscLWOOUWlcSCSIFL1Y8WSnYB8Ber2aDBo+/bi889dQFfenYep5ciuP8tO2DSSTsW0n5+cXERo6OjGBqbwH+dX8FPfjqDE64IFBRw8zYr7rl9GOa0F686uLvieIWkmc2u5Z3D4TDMZjNWV1f5agGyCEPIhxi8XG3SbcT+hYY3hTaQhY00S+VCTSZTQ/wOaiXurmYdHnzLdtwx2Y7P//ISPvWfCdz/hgF0ddV1OEURarmoOJVKIRaLIRwO5zmOkfOTTqdFnZtoNLqlvHSBLU665W7gWiLddDoNt9td1BqnXkiR7C4uLuZta9Cq8NU/3YVH+1z4x2fncdf/PYz73zqFg8PlxRYEDMNgYWEBLpcLra2t6BiZwndn3PiPk7OIpWmMWJtwzx1juPu6bnSYtMjlcjh50lN1XGHpkdPpxPLyMoaHhzExMZG3kCbsweXz+dbyxQyDbDaLpaUltLW1SWqPI0QjSHM9F8FKlbIJ28vHYjEEAgFEIhFQFIVoNJpHxlIe8vVGy6+dtGJ7lxEf/N5x/L//6cJjVjOmumtvYS4mLSA0RRdCaB6fTCZx4cIFcGUEMOTcbzUvXWCLk245SGnZQwzEiTy4sDVOpfeJuXGFpFtNsluKoCmKwgduHMSe/hZ89qcX8L5HT+AvDvTjkLE08Qgj9e7ubiQMvfjOzApmfvZHKCkKr5vqwHsO9GO6v6UmuTAhj8OHD6Onp4dfUCwkwlI9uEipm06ny2uPI0XM0MiFtI1EqfbyLpeLj+6EDSLJyr1wllCuJ1kjUhS9rTr8/a1mfO43YXzyyQv42UevL1vyVw31VC8IZw3Ly8vYt29fUS5d2FLpzJkzcDgc/Myi3tprYM0m8sMf/jDOnTsHiqLw3e9+F4cOHap7XCG2NOmWuwHFOIGRabfD4YBOp0NHRwcmJiZE7VfK4phSqUQ2mxUl2a1UlTDd34qf/uUBfPm5eXz/yCJ+oaVwb4sXf7K7i4/4Sasfi8WCrGUMn3vBhZOLEbRoFfifNw/jz/b1obO5tEy2muEN6ToxPz8PlmVrmgmQ6bjZbM6LcgrFDIlEgo+GhGTcCEGF8FjqQSNqbEnr9FIPJ2EpWyk/XtKxt1EVEM1q4AtvGMbHfnwJjxxewiduGap5rEYtalEUlWceX9hSKZfL4dy5c3A4HLj99tuRTqfxxBNPYPv27TXv85Of/CRe//rX48knn0Q2m5W0IC8WW5p0y6FaCxDSsqalpQXT09PIZrNYWFgQPb5Y0mUYhi87qtZll4xbKdps0ijx/71xAm/e1YXP/PtxfPon5/Hvx934xI2dQNgNo9GIRPMQ/unFJZzzLKK7RYu/vaUXN3ZR2DU1WvFYK+Vaw+EwLl26BL1ej+npaZw8ebLm1Eup/ZQTM5CyLWF6QqPRIJvNIhAI1F2WVA8amRcuRKVStsLebaRm2+l08mRcyzlhWRbXDZhw85gZT53x4eM317Zwu1FQq9U4cOAAlpeX0dXVhfvuu6/uZq3RaBS/+93v8OijjwJYuy7Xw4B/S5OulIuC4zgEg0G+YZ6wZQ3LsjVVO5QzVxFO8XU6HUZHR9Hf3191XLFtePb0t+C+Vxkwm2nDP/9uEe//YRiDZh1SdAi+6DL62/T4P3dtx93XdSMeDcPn84n+bEKQEiCGYbB9+/aancVqQbn0BFmYikQi/AKMRqPhI2JSPVHtwVsvroY4QqVSFRl+RyIRuFwu6PX6opSNlFItkha4caQNv5tfRTCRg9W4+Tt+CHO69VYx2O12tLe34wMf+ABOnz6N66+/Hl/72tdE+VFLwZYm3WogFzXpD6bT6Uq2rJG68FYufSFsXUMW45aXl0Xf5GJFD4lEAqlkEjsMFL7z5zvwzsfOwbma5v/+rXfvwehlo5RaOgeTdEg0GsW2bduqdp2QgnqqF0gESB5kBMQgnSxQJZPJvMUsQsjCm3IzqMkaVTKm1WrR2dmZQQu0tQAAIABJREFUN/0uV6pVTtbLsiyUSiWa1GvnKE1LjxoblSuXUtURDofr8kUWgqZpnDhxAg8//DAOHDiAT37yk3jggQfwhS98oSHjE1yzpKtUKrG6ugqHwwGVSoWpqakiYxSCWqodhORY2GV33759fBSsVCpFt+uuRrqZTAbz8/OIxWLQ6/WYY9rx1X97GWolhT/Z1QWlgsLPzyzjzd/4I+6c6sAHDg1ipEU86XIcB5vNxlckbN++veFTzHpLxkq9v3CBCkCeQbrX60U8HufbqOdyOXAch+bmZtFWkIXYLDLgcsRdrlSrlKxXq9UikUggEAjgxEIIOrUCnSbp56VR+WWpto5imrmKQV9fH/r6+nDgwAEAwNvf/nY88MADDRlbiC1NuuUu2Gg0ikQiAbvdzquuKkFM1wQhhCQdDAYrdtmVKtktRdC5XA4OhwOBQAAjIyMwdA7hb390DOf9Ntww1Iq//5PtfGH7X982iu8dduHfjrnxq/MruK7HiNv7Fdg+xUKlLO+lSnKESqVSksRZKjYqT6hUKku2B0+lUrDZbIjH47xqSpieINUT1Y5zs0S6Usao1Erp5MmTcK8m8KvZAKY7FDh98oToVkoEV8PWMRqNNqwTcFdXF/r7+3Hx4kVMTEzg+eefx9TUVEPGFmJLk24hiLKLYRg0NzdjYmJiXfKQSqUSsVgMCwsLUKvVFbvs1uOTIJQgE5vKn5/14b6njwIci8+9dgh/cdMoFIorN3+HSYt77tiG/3nzMH5y0oNH/7iALx/J4PELf8Dbprvx9uke9JvXSmuEFQlWqxUGgwFDgp5U64WrJY4gFRFGoxHNzc2wWq18CRypnvD7/Xx6QkjEhemJzR7pigVppQSFEv96JgWOUuDv3no9epo1eUZAZCGzUmv5q+HJ2+g63Ycffhjvfve7kc1mMTIygkceeaRhYxNsadIVdp+dn59HNpvF2NgY2traMDs72xBTkkKQagSO47B79+6qUbSUnmpkIY3jOLjdbiwsLPDOaTkWuPepWfzklBf7Blvxsd1a7Bq15BGuEAatCn9xcABv292Ox184hRMRPf7lv5345u+cuHHEjDdMtqKH9aPF2IS9e/dCp9MhEAhIPh9SsRkUaUII62etViv/+0LTG5KeIKSdyWQkpaRKYbM0lMzSLL59Loejy2n87zduQ3/b2mytkv+EsLU8qTVWq9VgWbZu8pVqYN7ITsB79uzBsWPHGjZeKWxp0qVpGmfPnkUymeSVXQRS87RA5chDKNltb2+HRqMRJT+U0j1YoVAgFovhj3/8IywWC18LuxLL4OM/PI2znij+6pZhfPyWYdjm50SRuVqlxN5OFT725j3wRtL4t6ML+PFxN16yr6JJrcDt2w14kyaGm0alrVTXGqVtBtIVs/9SpjfCThXZbBZzc2vfAWmLQyLjjfTkrZd0l6NpfOZnL+PEMoNP3TaM/zHdXXbbUv4TwBUlGelOcfLkybJKMjG4mqS7EdjSpKtUKtHT0wOz2Vx08da6OFb4ZZeS7K6srCAWi4k+RjHkuLq6ipdffhksy2L//v28l+jcShwfefwkwskc/vnPduO1k2sXu9Q2PJlMBiG3HQdNUbznI9dhLkLhP8/58OsLK/jFmWW06FXYbeaQsfhxaMQMnbp8pEKIs1AS7PF48uwPTSZTTTLfarhaMmBhRcTKygomJib4uuFYLMbXFBd68hIhQ2H0dzW9FxiWw1NnlvGl5+ygWQ4f26XGBw9VL2ssBaIkIxUQo6OjdbVSkkK68Xi87AL5ZsWWJl2FQlG2nKkW05tcLsd/2ZUku1IIvRrpxmIxXLp0CQqFAtu2bYPX6+UJ9+XlGN7/2AmolBSe+NA+THVfiazFki65+I8dO4aRkRG+IsFqAQ6NmPF3b5zAH+2r+OW5ZTxzbhn//cRp6NUKHBox47aJdtw6bkV7wUo22TdFUfB4PHA6nejp6cHevXv5Av5YLAaPx1Mk85ViwF4Km6Vgnzx0KqUnCoUMJPoj56KUh61UEFWblON+yR7CV3/jwMu+BPb2N+MLbx6Hz3a+ruMA8nOxUlspCUvZCDmL+SxkX1sJW5p0gcqmN2JLtcj2NE2Dpmk4nc6Kkl2pi2Oltk0mk5ibm0M2m8X4+DhaWlqQSqXgdrsBrEW473v0BHRqBR57//UYsjSJGpeAZVksLS1hcXERFEWVrUjQqBS4ZdyKW8atuKsrDsYygt/Or+I3FwN44eJajndnTzNuHDHjxlEz9l72bAgGg7Db7Whra8O+ffv48y0s4FcoFKAoCjRN8zdaJBJBOBwuctwqFQmuFxoljqiEUkKGQvexaDSKU6dOQa/X19QyiIwphnRyDIvnXg7gu39cxMu+BLqbtXjwLZN4w1Q7WJaFv0GdgKt9h9VaKfn9fn5tIRAIFHUzLqfg20rY8qRbDlIjXaVSicXFRYRCIfT391csm6on0s1kMkVdgwu3XYll8NHHT0GtpPD9D1yPAXOxkUe5SJfjOKysrMBms8FqteLAgQOiTde1aiWuG27FLRMd+Ls3crjoi+OFi378wbaK7760gH/5vRMaJYVhE4dp+zxet3cUA4NmKBRrTS3VajU4jgPLsuA4jv83RVFobm7mOy6QXCmZfgojQaHfglTHLSm4GpUHhdFfPB7Hjh07wLIs/1ASpieE56Gcoqwa6dr8CfzsjA+/OOtDMJHDkEWPv3/TON60swMaVWNb7NQ6jrCVErB2ntra2mAwGEqeF2IQtLq62tAHNcMw2LdvH3p7e/H00083bNxCbHnSrdfekdSo+nw+tLe3izIrlxLpkhuTpmk4HA74/f6ywgOFQoFMjsZf/fA0QsksHv/gvpKES46h8KESCoVw6dIlGAwGviJBCoT1yhRFYbLLhMkuE/7qlhGEYkn84sgsji3GcSHI4EezKfxo9hzUSgo7uk3Y09eC6f4W7OlvRrvxSjpC2Nbd7XYjGAyivb09z8ikq+uKaQ/xWfX7/bDb7XyZEiGgRthtNgKNbEyp0Wig0+nyfBaENodLS0uIx+MA8hVlxJNXSLocx2HOn8QLFwN44WIQs744VAoKN4+Z8bY9XXj1mBmKguNupKihEU5fpEmsTqcrOi+kqmRmZgbf+9734HK5MD09jdHRUdxzzz04ePBgzfv92te+hu3btyMajdb9GSphy5NuOVSzdyyU7Pb398NkMol6ckqJdMki1pEjR9Df34+DBw+WvcCVSiWevJjGWTeNr79zF3b2lK+OEEa68Xgcc3Nz4DgOO3bsqHlhgaKoouiZLJL5fD7csWMY77mtE2fPnkUwkYU7o4UtwmHWn8YTM248engRANDXqsPOnmZs7zJiotOATk0OIe8C381YpVLx0bDwFQB/o3V0dPCklslkEIvF+NREPB7HqVOn+OhI6pR8s3gvVCK7cuboQkWZ0+lEIpGA2x/GYtaDl1c5HHcnsRTJgAJwXV8zPv3aEbxpZwcshvLVKVc70i1EpW4QpKrkta99LcbGxnDvvffipz/9KW9gVSuWlpbwy1/+Evfeey++/OUv1zyOGGx50i134ZdrTllOsutyuUSnI8RaR5JFJgCiOlCcXIzgvxw03nF9L1431VlxW6JeO3/+POLxON+Cpx4IiVx4/L29vbw0kpjfJJNJjMfjuD4aRaw7jeSEGr6MBq6kEvNhFmfcEfzqwgo/ttWgxvbuOLYvuDDRacSItQmDZj10gshVSMDkBwBvB2mxWNDV1YX5+XlMTk4WVQyQelEx/co2g7BB6hgkPbGaU+HlgAJn/RQOz6fgDCfBIQmdisKkWYnXbFdhX7cGfZYmmExKaNgMWFZV9lw0KtJtJHmLSSsRYYRSqcT4+Hhd+/ybv/kbPPTQQ6KrkurBlifdcigVjVaS7EpZeKt0gQpJva2tDfv378exY8eqXowsy+H+X11Ci5bCZ1+3reK2NE3D6/UiGAxiamqqyAy9VpD0QjAYxKVLl/jjFyrlKIrKk5N2d3fznzudTiMajSIUCmFlJYFomkOQ0SFA67AYB+yhFF6yrYK5HGhSWDPQHrY2YcTShGGrAcMWPfrNerQbtVBezhUTIs5kMnA6nbwKiuSGyYJdLpfjF2RcLlfeyrgwKm4EGtU+vdIYySwDmz+BeX8Sc/4E5v0JXFiOI5Jau671agVGWhT48MFu3DzRgR3dJqgvS72F6YlCwxvhop1ard6Uka5Y0m2EBPjpp59GR0cHrr/+erz44ot1j1cN1yzpCvOTpN24Wq0uO/1WqVT8hVkrSE61qakpj9QL61pL4ZnZFZxxR/GhnZqyrv2kIsHlcsFqtaKrqwtd9Ta1EoCmaZw/fx5arRa7d++GTqfjI05SHlUOFEVB8/+z9+XhUZVn+/fsM8ks2feNLDPZIJAFQa1FtO0P988VWyu1uLYqaEsFsS6tAqVq+9lasXWvn9qvrnwtxaoFbAWSEHbIMslk3yeZfV/O74/4vpyZzHImGZTtvq5cQDKcOXNyzvM+7/Pc9/2IxbDb7TAajSgvL0d6ejrcbjfMZjPNSk0WP8ZdfJj8Uoy7+Bi2Meg3ubGv1wiH50RpQ8jnIVslQY5KimyVFHI4IfHaUF2cg5KsdLgZAWRfPt8kKJNMMDExETk5OVThR+rERFlG/m02m2kAOhm+qdHg9/thtHswaHRiwOTEgMGJQaMTgyYneifsGDSdSAKkQj6K0xJwiToN83IVmJurRElaAlqPH0Nxce60Wmqk8gSpmZMpFWTRGh8fjzilIhriGby5ZN7xkgB/8cUX2Lp1K7Zt20YTh1tuuQVvvvnmrI8dCqd90I10c/h8Phw4cCBg3Hg4zETBRmCxWKDVasHj8UIGdXLsSA/2n/f2oyBFhvNzpv+MPRWCNPtsNhv6+/s5nR+p1Ya7kV0uF7RaLUwmE0pLS5GTkxPAPOBi/jIyMkL5ugsXLqTvJZFIkJ6ePq1JRIKexWKBzeYDeFK4BAkw+MQwegSYcALDJhd69RbsHDbCSOLPsV4AU4bzEiEfqYlipMnFSEsUIVUuRrJMCIVEADn5EguglAqhkCqRnpuCIokQ3V2dSEpKotS3np6eaSNyuAg72D9jGAYurx9Wlw8WlxdWpxcWlxcWlw9mhxcTNjf0NjcmrB7obW7orW6MmV1wf7on4JhJMiHykmSYl6vEtfMTUZqegLKMROSopBCEkHwTQQIXhDO8GRoagsFgmCbtDfYojhYI4xV0AW7ln3iZ3WzcuBEbN24EAOzcuRNPP/30SQu4wBkQdEOBLdmtrq7mJBOMxSMh1Puo1eqwq240tkPXuA0tfUY89O0y8HmDAVkxyZ7lcnkAIyEWn1zy2lDKn56eHoyNjaG4uDiAaSEQCDhlG0ajEVqtFgqFAnV1dZwyRlKjZdegyZQNEoxNJhOcfCfEmWJkZxcgQaGCjRFj3Ob9MnhNBS7y90GTE4cGzTDYPfBH6ZPxAEiEekiEAkiEfEiEfIiFfIgEbjB+Pfz+Ufh9fjCMH3weD0KBAAKhADyeAF4G8PgYWGxO8PbshcfHwO3zw+nxwxvljVUyIdK+XCTm5SrgVXkxr6wAeUlS+hXrbLLZCix4PB41jC8oKKDfJwuj1WpFX18f3QWyebPBlL54Bl0uMBqNAYv56YLTPuiyV8Rgya7NZuM8njlc4y0U3G43XC4XDh48iLKyMqSlpUVcmaMF3c+1U2Twy6oz0dM6ZaZjs9nQ0dEBACGz51hoa8EBmm2ow/YPFQqFdOIFj8ejWZFSqZzmskXEHQzDoLKyctbu+gKBAElJSUhISIDFYoFYLEZlZSUEAsFUEJ7UTzU5vF4UJiaiOksBhSIJSqUyIND7GQZ2tw9mpxeWL7/MTi+Mdhd6BsdgsNggVyWDJxTD6fHB6fHB5fXD5fXD7fXTgM0AYJipa+XxeuHz+eD3uSBh/JALeEiRM0hWSZAgFSNBKoZURDJsIRTSL/8uFUIuEUIpFSI1UUTrrQTNzc1oaMib1XU7WaY54RZGwp4IpvQREyCPxwOBQDDjencstXLCdY8nlixZgiVLlsT1mME47YMuEF6y29vbG5F+wgaX8gJbrSYSiThzYaMFyD26SRSnJSBLJUUvj4ejR4/C4XBArVaHzdJnkukCUyofrVaLlJSUaU2ypKQk+n7EBNxsNmNwcBAWi4XKWN1uN9xuN8rKyuKWafj9fvT19YU0UA/eDtvtdpjNZkxOTqK3txdutxtSqZQKMBQKBbKVUuSopCdKH5N9aKjJQ17e/LBTdUNR2IKvI1HYtbS0ID8//cvyiClI2CE7qcKO4POebUMvliGroUYoEecxn8+Hjo6OgHFBpETBpTxBzoXrInI6mt0AZ0DQtdvtaG5uDinZJdkrF3ejSEHX7/ejv78fAwMDyMvLw+LFi3H48OFZS4EJdHo75uYooNVqYbFYkJOTg7lz50bNnmMJuhaLBUePHoVIJEJNTQ0kEknEJlmwCTi7iUfUQt3d3XTmHMmIFQpFTAIGwvbQ6XTIzMykC0E4sEUVwcwJUp4YHByE0+mcEpu4XEhMTERlZSWUSmXYa0oedPZ7k+tL7DZJMHa73QCAjIwMZGVl0UUtmrCD1InZnz0emG2mS5zSZgK281hvby9qamoABI4L6u3tncYkCWeMznUBAOLvpftV4bQPugkJCWElu7E0x0JNj2ALKDIzMwO4trFs7yOdh9fnw7DJgWqVGxJJCVJTU0O6poU6Xy7vT7qxnZ2ddLhkrE0yvV6Prq4u2sRjPxTET8BsNlOqHFEmkSAcXAIgIGY/UqkUCxYsmNWDT6bnZmRk0BlvNpsNxcXF8Hg89MFnS06VSmVELi/5PvmTTN0dGxuDWq2mIg/ye4gm7BgYGAiYVOH1emG322MSdpwMxIuny0aocUHhJjyzFyaBQBCTgfm5TPdrAOGNhkKs/gsEJNB0dk51uRsaGqYFjdk6jRFGgrazE14/UFyYj4KCAphMJk7BNFp5gd0kk8lkUKvVkMvlNNhyecgIK0MsFmP+/PkhSymh3KRICcBiscBgMEwrAchkMkxMTMDpdHIap8QVZEcyNDQU4KjGBmkQkckfVqsVPB6PTpMgATn4wSf3Q1ZWVgA7g/3eocoThLqVmpoa0Kg0m80YHh5GV1dXzMKOeCMeDTAuWXu08oTJZILBYKCevOwdgkwmm3Y94jmq56vEGRF0w2EmNDCj0Uizr1Azzwhm4zQ2OTmJjo4OKJVKLGxoAP/Tf1PBANfjhvvcoZpkHR0d1BGMBJZIDxkZgEnqyrEGxWBfBXJedrsd3d3d6O/vh1Q6VW/t7OwMKE3MNOubmJiAVqulU5jDfb5wDSK2HSV7SoRUKoXBYIBEIgm78ADhyxOhFHZkoZJIJLT/wD4HImYIJew4GeyAr3OCRbAx+sTEBAwGAwoKCkJaQJJrQBgV8Qi6/f39uPXWWzEyMgI+n48777wTq1atmvVxw+G0D7rA7E1vgCn/Arvdjq6uLroNj4SZZLps79y5c+fSjn+aXIKRL4nwsdRqg0HmnQU3yYqLi+kDPTg4SM1TgrM7AOjt7aUUMmJMM1uwSxQZGRn4xje+QYOHy+WifN3h4WE4HA6IRKKA0kSkQZF2u51e00hBMRJCDbH0eDzo7OzEyMgIlEol3G43Dhw4QP1wyblFKomQIPRZxwR8fgbZSiky5CIwDhN6e7qRn58fkBWTDJd0/9nCjpGREdqsYp/DbLyJCeKR6cZSi+VynHAWkFarFT09PXjzzTfR39+PhoYGqNVq3HLLLbjyyitn9J5CoRDPPPMMamtrYbFYUFdXh29961snZSglcIYE3XAQiURwOBwRX0Omw9psNshkMtTU1HC6eWI1vRkcHMTIyEhIRkJZRiK0Y1OBMJYMmsBisaC9vT1skyyctyvZZg8NDWFychIulwtyuRzZ2dlUHjrbB8lqtaKjoyNsiSKUeIIYXZM6MbsWS4KxRCJBb28vDAYDysrK4lbbY8u4c3NzodFoaPAkW2Gz2Qyj0Yj+/n64XC5IJJKARSJY0fXC5z1oHz2hdhTwgEylBDkd48hLtmJOqgxzUhNQmCxBjkoCPisQy2QySKVSZGZmBkwBIZ68TqcTTU1NAcKOWFVl8ch0ubKEuBwn3D1HFseamhq88soruOiii9Dc3IzOzs5ZJQfZ2dm0KatQKFBRUYHBwcFzQTcSZpLput1u6HQ6GAwGlJSUID09HQcOHOCs+w5lrRgMMjp9ZGQECoUC8+eHpivNz1Phhc+7MWlzxxR0/X4/jhw5QssAsTTJ+Hw+VCoV/H4/hoaGkJ6ejqKiIirbHRkZgVarpdtsdlDhcn3cbjcddU5M2rkiVJbDVrG1trbCYrFAIpEgJSUFNpuNbtln8+DbbDa0t7dDIpGEFHqwt8LssgkJgqROS7J1cr3+cG0ZjvcOQzdihFCVDpNHgGGTE0MmJ77omsSHh9z0PYR8HvKTZSjPkqMiS47yjARUZMohl4DeF+zrYzAYUFdXR9kCwRM72Aq7cDuGeGW68Qq6XAQ25HkXCoUoLy+f9fsS9PT04MCBA5S7fjJwRgTdcAhl7+j1etHb24uRkREUFRVBo9EEjOHxeDyctqhCoTBsFk04pwMDAygsLERVVRXGxsbCBsFLK9Lx/K5ufNY2joVp0VkJxJvXbrdDrVYjLS0tILPlkrWwxQ1VVVW01CGRSKBQKJCbm0s/C+k4E3N0ssUlTRE2TYzdzJozZw7Ky8vjUqIQiUQQCAQYHx+HUqnEggULKBXOYrEEeM6SQMOlfg2cuJ4GgwEajSamBYLH44X0fSXZ+sjICMbGxiASCFCTIYVC4YVCIYNSmQa5XD71GZxedE/Y0a23o3vCjs5xGw4OmPCPYydc2vKTpZiXq0J9gRL1BSpkJvDQ1dUFpVJJR/aoVCokJyfTBZc9sUOv108bLU/M0U+1oBuuj8KG1WqNWgKMFVarFddddx1++9vfxq25GwpndNBlq8zY42tyc3ND0sziwUgYGRmBTqdDVlYWpVdFYyRUZClQkp6I/2nqx6IrcsO+lmEYypXNz89HYmIiUlJS6Ou5UMBI9m00GlFaWhrVDpKt18/JyaHnwTZO0el0VInkcDiQmpqKBQsWzKi+Ggqksed0OlFRURHAlAhVNiGijuHhYXR0dEzL1skiwfaMyM/PR2lpadyoWz6fDwMDA3RUklQqpUGQNMvYi0SSQoGLChS4vCqN7iQMdjeOD1txfNiCY8MWNPYY8PejowAAlRiozVfikqoMZHiAlATRNOYEmdihVCqpsINcH/bEDqvVivb2dqo8nImw4+uwdYxnYPR4PLjuuuvwve99D9dee23cjhsKZ0TQjeapS7i26enpEX1tYwm6wa8l3XOlUkk9egmilQx4PB5uW1yAR7a2Yv+wE/PSA8+PTWFLTU2lTTKbzYa9e/dSKhb5CtXcIYvO4OAgCgsLUVZWNuMAQ7rIpP5LHlqBQICsrCw4nU4cPXoUHo+HNn3IucXi5kWy5uHhYc6NPT6fP42WFIpL7Ha74fF4IJPJUFxcTDPE2cLv96O3txejo6MoKysLKJEIhcKQzl9kkWCXdMhOojxJgYb8bIjFhTCbzdjZ0oo+pxg9dhH29Zmwo6sNPADz85S4WJOGS8vTUZSaMI3Cxg7GiYmJSEhIQHZ2Nng8HpqbmylbgKuwIxinq60jMPV8rVy5EhUVFXjwwQfjcsxIOCOCbjgQb9eEhATU1dVFJd/HYnpDjMwJI0EgEAQwEoJfG+24V9dk44XPu/GH3SP478tO2DWazWZaZwxukpWVlaGsrIwKINjNHbYs1uv1oq+vj05uiBftiNTFLRZLyLotu/HE5uuSh5mcX6iMmCwyGRkZUVVq0cDmEns8noAZdQzDBAgXgs8tlhHyhAqYmZkZkssb7tzCLRIWiwV6vR46nY4azpRlZWJxWhoUCgXEYjHaRm3Y0aHHjg49nv1Mh2c/02FujgLX1GRjWVUGkhICTeLJnyQYGwwG+P3+AGEHEQpFEnYET+z4KhppbBiNxrip0b744gv8+c9/xty5czF//nwAwIYNG3DZZZfF5fjB4EUhNcdHp3iS4fP5ArJO4p8rFothsVhw4YUXcjpOX18f+Hw+8vKim5AYDAYcOnQICQkJER3GgKmty8GDB9HQ0BDxmP9qH8c9bx3C92tU+Ollc6HVaqmDmVwupxlLtDICkcWOjY2hr68PDMNAKBRCJpNFzYi5gJ01FxUV0RlnXMA2OyfNJ7JIkCA3NjYGkUgEtVodtxIFsTDs6+tDYWEhzfK4nFs0doLT6URHRwcYhoFareZUk+R6ziQzz8/PR3JyMm2Wsc+NBEEHT4KdOgu2Hh5B+6gNIgEPl1dn4tbz8lGeFWiY5PF46P2l0WggkUimZcQE7PuNXSIh3sQkSMpkMuTl5c1K2HHgwAFUVVVF3RH9/e9/x+HDh7Fhw4YZvc9XgLAPxBmV6dpsNmi1Wvh8Pqp02r17N+f/z2V6hMfjgU6ng16vh1AoRENDQ9SAw2W8DwAs1aTj4lIV3jpsQr6kGcsaNDNqkpEM1Ol0oqamBkqlMsCfwGQyTcuII2WdbJAgMNOsmS3ZzcycGklEasRdXV0YGhqCVCqF2+3G8ePHA0oTMzXXJoswKf2E84YId26h2AlkhDxpmMXT/AeYojK2tbVBLBYHMCkSExPpuQGBPGeLZRTlsKO6VogJXzp2DXiw/dgYPjw0gvOKknDvkjmozVdhdHQU3d3dERfMcAo7kpkTP2LCJ+7s7ATDMLMWdsQ6qud0xBkRdJ1OJ9ra2mCz2WY1KyzS9AjCSCA10dLSUjQ1NXEKAqF8HUIdf3BwENfk2HF0kIeXW4HvXCCPqUnm8/nCihuC/QkARA3E7MwuGt92piD+Fr29vcjPz8e8efMCfAvMZvO0YMc+t0gKNuLB4HA4pjXguCIcO2FsbAxarRZSqRSJiYno6upCT0/PNFFHrBkfqQmPjY1xupdDf/TcAAAgAElEQVQjmcSXZ5lx1Rw+tneY8c8+E77/2gHUpPHxvblyXNoQudEZTWHHDsQkQ05NTaU2p+xmazhhR6iJHVw5w+eC7tcMn8+H9PR0VFVVTXsAo01NYCNUI41tekMYCeRGjNdUWWK3mJaWhkV1NVjNtOHJvXbc/j+H8Pqt85GUEHmrxQ5cubm5nOuJ4QIxO9j19/dTW8eMjAz6cMdjRli0DDSccIKc2+joKOx2+zQFm0wmw+DgIAYGBjBnzhxkZmbGjZXgdrvR0dEBj8eDBQsWBIzJYfs6dHd3U/5wsC9xuN8NMawndeyZbtHZUueiIuC8BX7c1KnDm81D+GefH+t2mrGnfx+WFQmQpFQE1LAjZZmhArHdbkd7ezttErKDMRF2kGw6WNjR29tLKZrskfJc7i2z2YyioqIZXZ+vG2dE0CU69lDgMiqH/Vp2w4sMaAxnejNbsJtkCxYsgFgshtfrRWWOEvfN9+LZfTaseKURG76di+y0pJC2iQaDAVqtFiqVKuLWmStIZicWi+F0OuF2u6mKjmyxBwYGAuqw7Boxl+BGKGAulyvmDFQsFiMtLQ1paWn0e2wF2+DgIEwmE0QiEdLT0ynPODExcVaBl9D1BgYGqJgm+HihfB28Xi9lJwTTxNjNOp1OB7fbjXnz5sWtJgxMLWzt7e1ITU3FkzdfiJ86vNiwXYsPjo2hwybFxsuzIWScGB0dRWdn57RsNBzjhHh8DAwMTGNphGrYke8RYQfb+J8t7HC5XGhubo4q7DiX6X7N4GJ6wzXoEgeojo4OCIVC1NTUTBv6N1uQxovL5QpokpF5VxqNBhoNkFM4hp+8fxxr/zmC9Rc6IPBMCROIEYvRaIRQKAwQN8QDhDkQXLeNlBETD1vSdAoViNlG5fH0diD11eHhYQgEAixatIg2Uc1mM3Q6XUgpMdeGDwlcycnJMdexQ0mw2QbxnZ2dMJlMkEgkUKlUGBsbC+ASzxRerxednZ2wWq0B90dKohhPX1eFb1em45Gtbbjt7Ta8+N15qCyfEsNwMYkXCoVUmBGKWRJsiUkQrjzBvkYTExOoq6ujixVhcDgcDjrNZMeOHdQ9Lx7Yvn07Vq1aBZ/Ph9tvvx1r166Ny3HD4YxgLzAMQ42lg3H06FHk5+dz4vSZzWa0tLRALpdzkq7u3r0bixcv5hQ4du/ejYaGBnR3d0Ov19PsgL2dCnWcf3dOYPVfjyJNLsHzy+eiQCVCe3s7TCYTFAoF3G43fD7fNBXWTDwTyIggoVCIsrKymOu2wYHYYrHQQExEIpmZmSguLo7bVAU2l7ekpCTi6CTSeSfnZrVaI27/2TXh8vLyuC5sVqsVbW1tUCgUKCkpAZ/PpzVQcn7srJP8XrkkD0Q5WFBQgJycnLDXo3PchrveOgS724c3VtSiLCP052OzOki5SSQSTaPXRTImCgdy/zudTmi1WkgkEsyZM4f+nDwXbGHHn/70J2zduhXAVMC+8sor8dhjj8X0vgQ+nw9qtRqffPIJ8vLy0NDQgLfffjsevgthL8QZEXQBhGUdtLW1IT09PWD7EwzCSJiYmIDX68U3vvENTjfP3r17OXFI/X4//vOf/4DP56OwsJAqu9jKoUjvd2jAhB//5QgcLi9uqxTi2oXFAZQnsoVmBzu/30+3sNHksOTzm81mlJWVxXXbRoILwzBQKpWw2+1RM2KumJychFarRXp6OgoLC2fEE2Vv/81mM/XX5fP5cDgcyMvLQ0FBQdwWCZ/PB51OB6PRGNVLmJ11kmBMBB3sGjYprTmdTrS3t4PP50Oj0XAK0H2TDnz/tf1IEAvw7p31SBSH/pwmkwltbW3IyMhAYWEh+Hw+ra+TOnasJvHkMxI2RUlJCTIyMjiNTrr88suxdetWqFQqjI+PU9l6rNizZw8ef/xxfPzxxwBApwKvW7duRsdj4eygjIVCKP8FAp/Ph76+PgwNDaGwsBBqtRp79uzh/PCTckS4h53wLAmdhvjzcg225BjZYhcerhPgj8d4+MNhN6wyGx7I8EMinHpfdrYW7JlgMpkC5LDB2+uRkREMDAygKMS4o9mA7WcQisfM5sOGKk0Q+lqo82HzYmdbAw3e/pvNZrS1tVGhgNVqRUtLC4DpVpixBnm2e1l9fX3Uax1uNBGxe2SLYRiGgcfjQV5eHnJycjiXJgpSZPj1tZW47Y2DePHzXjx4aUnAzwkdzGKxoLq6OiDbD1VfD2cST64Z+9q5XC60trZCJBIF9CMijU5yOp149tln0d/fD4lEArFYPOOACwCDg4PIz8+n/87Ly0NjY+OMj8cFZ0zQjeQ0FuwGxmYkZGdnBzASYkEkpRnpzJNRNK2trZiYmEBqaipnvqnZbKa0pKWLFuDSC8XY/Ekn3mgcwG6dAb/6rwpUZIU2/WAHYgK25JQ4rJHmD6llz9apK5gCFs7PgK2AIiD0tVA1YkIxGh0dxdjYGEpLSwMe9tmCKNWsVisqKyunNffCGZ2zdxOhZn6Rz0Uy0NmMJQICnc4yMzNhsVjQ2toKhUKB5ORk2Gw2tLW1wel0BtDrIm3/FxYlY1lVBt7aN4i7Liqk2S6Rtufl5XFekLmaxLtcLni9XmRmZlLHtkjg8/k4ePAgVq1ahauuugrd3d2zbhoDoRlIJ3t00hkTdMNBJBIF1HsJPSs5OXnWjIRQFDOHwwGtVkubZIQGU1RUhLGxMbS2tsLlck1Th7HPg4ySJ2o0duB8ZJka3yxLxfqtbbjppRasWJSPu1kPSiTw+Xzq1CUSiXD++edDLBbTQMx26mKzEiLRnNjgKkIIh1B8WFIjHhkZwbFjxyAQCCCXy2E0GuHz+WYlmgACF4nCwsIA1zk2Qhmdk0WMGLCTsg4x15HL5TCZTJRzG6nEFSvYZYpwpvuEnkVmktntdgiFwpBc4msXZGPbsTHs6zXh/CIl2tvb4fV648LJZl87h8OB1tZWyOVy5OTkwG63T5utx86IpVIpXC4XNm/ejJ07d+Lll1/GvHnzZnU+bOTl5aG/v5/+e2BggJb/ThbOmJqux+MJWfsZGxujDZz29naIxWKUlZWFZSTE0hxrbW1FZmYmzRRJXbi0tDRik4w0DkwmE60lklodmRZQUlISUV5rsLvx9Kdd+ODgCLKUEqz7ThkuLQ/fRCJ1W5PJFFW2zO6us+ucwVkdCcRsChhhY8QLDoeDmumQ5h67WWc2m2lGHKt6jdSb5XI5SkpK4pI5kbLO6OgoBgYGwOfzIRKJaCCeycTkYBB2SW5uLvLy8mJacNi+xFPj46e4xH5xIn64dQx31aegIclG66vxyvoI5W5wcBBqtTqk6IPt1WGxWNDY2IiNGzdS2uLdd9+NJUuWBCjyZguv1wu1Wo3PPvsMubm5aGhowFtvvYWqqqrZHvrMb6SFC7rDw8Po7OyEVCrlxEhoampCbW0tp8YJ4fA6nU709/fTbjHAvUkGnPAF6OnpgUqlglAopN3r4Ic1+Lz29xnxy390oH3UhsVzkrF6aTHm5gaapxA+ZTjPAS4g44aCAzGPx4PL5UJBQQHy8vLiZqbj8/nQ09NDmR7RlFmhAjHZXgcHYrJAmkymuA7GBKZ7GiQmJlJ1Frsh5vV6p42uj7brcrvdaG9vh9/vh0ajiZsq0Ov1or1vBDe8qcVyNR/fLpIE1GHJIjvT363dbqfZbWlpKafjuFwubNq0Cf/+97/xxBNPwOl0Yv/+/bjgggtw6aWXzug8wmHbtm1YvXo1fD4ffvjDH2L9+vXxOOyZH3S9Xm9AfZX4D+j1eojFYk4eCQCwf/9+VFZWRr2hGYbBkSNHYDAYkJOTg6KiooAJvVyCLTDVge/s7IRKpUJxcXFABsR+WMlXKFYCw+Ph7eYhbPl3Dwx2D75Vno77Lp6DZL6T2kEWFRXFrQMPnJjHplKpkJCQQD1a2a5ZM5HCkuajTqdDTk4O8vLyZqzMCqavEdN5l8uFjIwMFBUVxW38Odubl4sKLhwzIZQVJtush2Sg8QLJQD/a34c/HHLjjRULUF+YFFCHJYss+94jATnSPcUwDPr6+jA8PIzy8nLOrJiWlhasXr0aN9xwA37605/G9b79CnH2BF3iPzA8PIyioiIkJyejra0NtbW1nI5z+PBhFBcXR9wiE7K8z+dDZmYmCgsLYw62xJyHx+NFLHcEg90MIw8sMFWDFUgTsa3Tgf/ZPwqH24/z88S49xINagrj13AiXF6RSITS0tJpixObC2s2m2Gz2QJECYRGFOoascfllJaWzqrhFO7YIpEIaWlpdBvL9nOY6URi0rxKTEycVZkieHtNMnZSeiosLERycnLcrovNZqNNuKf22DBgdOLj+xZBJAi9yLGpiaRWzJ4iQn7HIpEIVqsVra2tSE5Oxpw5czhlt06nExs3bsSePXvw4osvxmOL/3XizKeMEVliT08PcnJyKCPB6/XGNIY9kpG5w+Gguvvy8nKYzWbo9XoYjUbOFCJ2bXUmAxVD+a+SrMRgMOA8+SRKFviwY0SIXQMe3Pz6EZxXqMQdFxZhcXHKjLM6siU3Go0Ra8KhjLrZdUS2OoydDY+OjkY99kzg8/nQ3d2NycnJsKN4Qk0k5hKIuRw7FrCZCRkZGQFCGoZhAuafzVSCDUwFT1K6KS8vxz87rdjXN4SfL1OHDbhAaEYM29iGeP/a7Xb4/X5kZWUhKSmJk9duc3MzHnzwQdx0003YuXPn6ZrdcsIZk+n29vbCaDSiuLg4oDbGMAz27NmD888/n9NxOjo6kJycPM21SafTYXJyklKVfD4fPB4PRkZG6KpPbkqlUgmVShWQ0c3GgzYaQtVt/X4/BscNeGffAD44ZoTJxaBQycdlZQpcVp2BzNQkTn4E7O5+NIVTLPB4PDCbzRgaGoJer4dAIJjG6JiJwol93qRMMZOGE9tYJzgjVigUlONNjj3babpsGAwGtLe3IysrCwUFBdOOHUn5F8n3F5gucmjsMeKutw6jrkCFl78/H/xZ/G4JfS01NRWZmZkBWXGwex2ZWOxyubBhwwY0NzfjxRdfREVFxYzf/xTDmV9eCDYyZ2P37t2cg65Op6PTXonElASznJycaTOo2Dc1e2ttMploRicSiWCxWJCRkYGSkpK4ruITExNR67Yurw//d3gUr+/tR5feDpmIhwtyxbggi0FJSqAyjJ3RsSlgwfXm2YKM+ElISEBJSQnEYjENxOSL7SAW6vzCgThfiUQilJWVxW077na7odfr0dPTQyccBLMmZlMj9ng86OjogNvtRnl5ecyiDzbPmdSwyUKRmJiIyclJOmcuMTER/zg2hnUftqIwVYY3ViyASjaz36/f76e873AGRuyFwmKxYPfu3fjVr35Fz+eOO+7AkiVLOHF2TxOc+UHX7/eHHYkeS9Dt6+sDj8eDWCxGV1dXgOwx1rotcREjJQGbzUYfBJVKNSsJrN1uR0dHB/h8PsrKyjg9oAzD4OCAGf/bMoTtx8fg8vpRmSXHJaUKLMwUQOi1Uy6nx+MBj8ej9J54ZeVsyTEX5gDbQYwE4nCsBDbjgTijxQvEoHtoaChAmMHOiIkUloy04RqIY23CxQKXy0Xd0eh0CL4QH3Uz+L8OG2py5Hj+5nlISZzZwkQy58zMzJBZeSg4HA48+eST2L9/P5588kmq+lu0aFHcmQlfI84FXa7c287OTgwNDSElJQWlpaUQiUQxB1un0xnAWw0mrpMVn/B0ydaLHYjD0YfY03xnUhMmMDk82Hp4FB8dHsbxYSt4AM4rSsKibCGKxWYU5U49+GweLCmbsPX+XBEsQpgpdQ0IvfUn1LXU1FTMmTNnVqWJYBBpcEpKCqemENuTIFrGbrfbqey4rKwsrrsJ4v1LJqlIpVLs7prEU9s70D3hwBUaBW5Ui+B1OWiNne2ZEOn6+Xw+OmuOZM5csGfPHqxZswbf//73cf/998eNYngK4swPupGcxrhwb+12O7RaLWw2G5RKJSorK6M6gAWDZFrj4+NRHa+Cz514EZBA7PF4pnF0R0dHA/jA8QoqOr0Nf23sxj9a9RizMxDyeWgoTMJSTRou1qQhWymZxoONpqpjg2T8J6NMQZqbfr8fmZmZtPsfD1MdIg222WzQaDSzEn2ECsSkJJafn4+srKy4LRTszLm4uBiZmZk4MmjGC5/3YKd2AvnJMvx8WRkuLD2hkGM3O8n5hbPCJDXnWGrldrsdv/jFL3D48GH88Y9/hFqtnvXnPMVxdgfd/fv3o6KiIuQWnN0kI2PJieMRV/krO4vLy8tDbm7urBsrbI7u2NgYJicnIRAIkJycjKSkpKjOYVzBpoCVlJRAO+nBJ63j+Fe7Ht0TdgBARZYcSzVpuLAkBVU5Cgi/HD9EFgqyWBCeKTub6+3thd1un3XQCkakUecE7BonCcShRhEFg+18NdusPBTIljwlJQVJSUmUAhhqCkasgZjMVpNIJCgpLUVLvxUv7+7Dnm4DlFIhbr+gALeelw+xMPr9Sfw42Fxdt9sNHo+H/Px8pKamRn1GSCN7zZo1uO222/DjH//4TM5u2Ti7g+7hw4cxZ86caeYvoZpkXq8XAwMDAas92VKrVKppHWEibkhKSsKcOXPimsWR7BsA1Go1JBJJWI4umzHBJeCzyxThaFrdejv+1T4VgA8OmMEAUEiEOG9OEs4vTsHi4mQUJJ+oV7IJ/0NDQzAajbR+Ta7hTL1+2WCPOif1di4I7vqzSztkoRCJRNDpdCdlu0+MxW02W1h/3lA1bC6BmF1zTsmdg529Trx3YAj9BidSE8X4weJ8LK/LQaJkZteeTFHJy8uDXC4PCMRkxD1bNEH8gZ944gkcP34cf/zjH1FaWjqj9z5NceYHXSC8p25rayuysrLoDCdi8sylSUY66mTb73A4IJFIIJPJYDabIRaLodFo4jpdgs2JLS0tjSiBDSXPZW8LiWKMHRiJuimWMoXB7sbebiP26CaxW2fAkMkJAMhSSlBXoEJtfhJqC1RIE3nQ1akNIMVzUdVxJc/He9Q52weDGHSTSRRcSidcQe65mWTOwYGYjD0nv2OhUIgDrV1otUpwYJzBvj4T/AywsDAJ19Vm49sV6dQGNFYQWTMZrRRqZ0DuQXKO77//Pt577z3Y7Xacf/75WL16NWpra+MiW/7hD3+Iv/3tb8jIyMDRo0en/ZxhGKxatQrbtm1DQkICXnvtNSqMev311/Hkk08CAB555BGsWLFi1ucTAWdH0HW73SGt2sgMMbFYjI6ODiQkJMy4SeZyuaDVamEymaBUKuF2u+F2u5GQkBDQCJtJNkcEHrOt25JtIVsVJhKJIJFIYDabkZycjNLS0hkHEoZh0DvpwB6dAc29RrT0GTFundplJAiBmjwVaguTUZmlQFWOAhmKwKYb2+uXnbEHB2KSwbKnQ8Tb0hE4kTkTXiyPxwsonZjNZvo7DpboRgOZVC0UCqFWq+M2Z8/mcKJRO4JPjw3i0IgbPZaphzVXIcTFpSr814JclOfOjnVCpN6x8MqtVisee+wxdHR04Ec/+hH0ej1aWlpwxx13oKGhYcbnQvD5559DLpfj1ltvDRl0t23bht/97nfYtm0bGhsbsWrVKjQ2NmJychL19fXYt28feDwe6urq0NLSEleGSxDO7qDb0dGBiYkJiMViqNVqJCYmxtwkIw/+0NDQtJuQva0mgYRkc+xtdaRtMClTkAwxnlxe4ufqdDqpvR5pNAVT12IFuS6HuwZhEqeh0+hHS78JunE7vXnS5GJUZslRla1AZY4C5ZkKZKskAUT8cM5mZNZZamrqSevue71eaDSaiJkzW6JLFgoSiNkZMTk/9nY/HraODo8PRwfNODBgxsF+E5p6DLB7/ODzgOocBS4qTcVSdQrSxSfqsIT+x14ouNSIibEOwzDQaDSc7guGYfDvf/8ba9euxZ133om77747roIRNnp6enDFFVeEDLp33XUXlixZgptvvhkAoNFosHPnTvr14osvhnzdScCZLwMGphuZk+7z6Ogo0tPTUVFRQf0ZyEiWaGArmzIzM0MOJgzl8M/2SBgYGAhQrJFAl5iYSP13AaC6ujquZQp2symYTcGubxqNRvT19UUMIqFAxuWkpaXhsm+eF3BdbG4v2kasOD5swfFhK44NW/Cfrkn4v/z1yER8zElLQElaIorTElCSPvVnfk4u8vPz4Xa7qRl3dnY2nE4nWlpaOPs4RAJ7R8HVQIYt0SUEfrLYkpHi3d3d8Hq9EIlEsNvtUKlUM/KjtTi9aB+10q/jIxa0j9jg+/LezlUIcF62AP9vfgku0mROEzWwAzxbcDI+Pj5Ngk1YCeQajo6OQqfTUdYDp/O1WPDoo49Cp9Phww8/RNHXOBo91CSIwcHBsN//OnBGBV0CMnWWSG5VKhUMBgPcbjf4fH5M4gZSjojV8Z/tkZCXlwfghGLNZDKhq6sLBoMBfr8faWlplBBPsu/ZgGEY6PV6dHV1ISsrCwsXLpy2wPB4vGnTG0g2ZzKZqI4+2F5SqVRS5ZTf7w87LidRLERdQRLqCk406BweH9pHrOgYs6FLb4Nu3IbmXiP+78gofY2Qz0N6ogAqkR/FGUqUZKUjzyFDrioNcwpkSJbxYWX5ONhsNmrMTRazSGIEi8WCtrY2qFQqNDQ0zGpHwV5ss7Ky6Ggbg8GAvLw8uN1uHDlyJMAUhnz5eXwMGBzom3Sgd9KB3kk7+iYd6Jlw0Ho5ACTJRNBkJuL2CwpQrARk9lFUlHAvPYlEIqSmpoYMxBaLhQZiHo8Hj8cDsViMiooKTj4SDMNg165dWLduHe655x688MILJy275YpwkyC+jgkR4XBGBV3CTyRZ6XnnnUfrc+Pj42hpaQGPx6M3fnCTiYCIG9xuNzQaTUhX/pmAzOOy26eUX6WlpUhPT6eBeGhoKIDWRIJILHVA4qYlFotjXijY2Rx7Jhd71tqRI0fg8XiQlJSEjIwMuN1uSCQSTg+bTCTA/HwV5ucHPtA2lxc6vR1H+/U40DkEs08Io1eIpgE7trUZA14r4PGQKhchTS5GWqIYafJkpCYIkWj1QTqsh8A7AL7PBZVMjMwUBbJTk5CcNOVRTJRw5eXlcfudEuj1ehxv74AqLRupxdUwOL0wwYtJoQIjdheGRmwYNoxhzNqPCbsPZhcTULtTSIUoSpFhQb4SN9blQJMpR3mmHBmKKXk08dEtP6921rJmdiAmz0x3dzdycnLA5/PR19cXkBGHEkxYLBY88sgj6Ovrw9atW1FYWDirc4oXwk2CyMvLw86dOwO+v2TJkq/+BHGG1XSPHz8Op9NJ7fVCNcl8Pl9A7dVms1FZKRmvYjQaYxI3cIXBYKCjgsLVbcPxX0m2qVKpQtKuYpkMMROQaQWZmZnIz8+fNn04ktlPNEQade70+DBkcmLA4MSg0YlRiwt6qxt6qwt6mxt6qxsTVg/deoeCVABIBQxkIj5kYuHUl0QEmVgIsYAPiZAPsZAP9ukGH87rZ+Dy+OHy+uDy+uH0+OHy+eF0+2C2u2Dz+OEKPS4PAJCcIEKGQoIMhRiZX/6ZkcBHitgHFc8FxhXar3Z8fBw9PT1x99EFppKL1tZWSCSSkPXyUIKJ559/Hm63G4cOHcLKlSvx8MMPx7XOvn37dqxatQo+nw+333471q5dG/DzBx54AB9//DG6u7uRn5+PsbExGI1TC7NAIEBhYSH0ej2++c1vYv369bj//vvR1NSEyclJ1NXVYf/+/QCA2tpatLS0RDXHnwXOnkaaz+eLuUnmcrnQ3d2NkZERiMVimvGxs83ZbEOJagpATN65BOHMzEmQc7lcGBsbo3zjeC4UZFwOn8+HWq0OW58ki1mwjy57VxG87WfXVmfjOeBnGBjtHuitbpidXlicXlhcXkxYHOgeGIHTx4NApoDd7YPN6Ybd5YbD7YXb64eX4cMPHrwMDzw+D+xnhX0qQj4PEqEAUhEfYgEfUhEfjNcNr8uB9GQlMpIUUMmEUMlEUEqFUEqn/p6SKEK6XMJJjMD2qzUYDBgfHwePx6MiingJYsh1HxgYiKnJZzabsW7dOgwNDaG+vh46nQ46nQ67d++Oi+DB5/NBrVbjk08+QV5eHhoaGvD222+jsrKSvubmm2/Gzp07odfrkZiYiOrqatxyyy0AgJ/+9KewWCy49957sX37diQkJODVV19FfX09AOCVV17Bhg0bAADr16/HbbfdNutzjoCzI+iuWbMGcrkc9fX1qKurg0KhiPoQs1kDRUVFEIlEAbVNEkR8Pl9MbATgxBhyonaL56rq9/sxPDwMnU4HgUAAHo83LcjNRlYa67icUAjlGkbEEiKRCCMjI1CpVCgtLY0rW4PdQAw3jwuYvqtgU8MiNRPJbDWFQhF31zg264HsWEh5h3BhGYaZNq+Oa9BzOBw4fvx4TKNzGIbBv/71L6xfvx6rVq3CbbfddlJqt3v27MHjjz+Ojz/+GACwceNGAMC6detCvv7888/HE088gW9961sApiiHZLDqKYCzI+i2t7dj7969aGxsxP79++F2u1FdXY26ujo0NDSgqqqKPkAGgwE9PT104GE0oj2bjWAymSiliZ0NkyDHFiDk5+cjNzc3rtknqTl7PB5KgQNC83PZjlwqlSqq/0A8x+WEgtVqhVarhdVqhVQqhdfr5Wz2wwUGgwEdHR0BwpdYwKb/sRdcwtG12Wyw2WyoqKiI6pAWK8i0haSkJBQXF4cNiMHTQ6xW67RAHJwUsIN5LKNzTCYTHn74YYyNjWHLli0BDIB4491338X27dvx0ksvAQD+/Oc/o7GxEb///e+nvba3txeLFi3CwMAAvU5CoRDz58+HUCjE2rVrcc0115y0c+WAs4MyptFooNFoqNLE6XTi4MGD2Lt3L55//nkcO3YMIpEIQqEQUqkUv/71r1FeXs7pwQzHRiA3fmdnJ+x2O/h8PlwuF5RKJebNm8fZfYkLiHE2oYCxjdaBqZsuJSUlIIfPVUQAACAASURBVLNzu900Y2c36tjSZrIQscflxNqEiwa2CUthYSHmz59PFyiSbRoMBvT29sLtdk9jTETLJt1uN7RaLdxuN+bOnTtj6l0o+h9ZRIk8mMfj0WwxVlVdKPj9fnR3d2NiYiLsOHU2Qk0P8fv9tP46MDAQMMFZIpFgfHwcKSkpaGho4JzdfvLJJ3j00Ufx4IMP4tZbbz3pzIRYGAbvvPMOrr/++oDP0tfXh5ycHOh0OixduhRz585FSUnJSTvfmeKMynSj4b333sNjjz2Gyy+/HFKpFPv27aMmNQ0NDairq0N9fT2Sk5NjzkwJ39bj8SAjIwMulwsmkykuajV29hlumkAsxwo1/p1hGPh8PhQVFSEnJyeupiTEsJzrDDGSbbIVa6S8Exzk2LuK4uLiuI4NBwKDOdtYPFhVxyXbDAWj0Yj29vaY/Gi5gvDUx8fHIZfLqVkNOcdwXh1GoxHr1q3D5OQktmzZgtzc3LidUyTEUl5YsGABnn/++bA+2T/4wQ9wxRVX4Prrrz95JxwZZ0d5IRoGBweRkpISUEog86IaGxvR2NiIffv2wWKxoKKiggbhmpqasA0kr9eLnp4eTExMoLS0dFpTIpxajS2SiOTUZLVa0dHRcVKGNRI3LUKxk0qlNMgxDBMgQuDquMZGPEedh5IOk5FJcrkcxcXFUKlUcQtaMzEWD6WqAzBNEMPn8wPMbyoqKuIqigECR+fMmTOHXpdQXh3EnObQoUOQSqV49dVXsWbNGtxyyy1xXQSiMRNefvll3HnnnVCr1RCJRDAYDNi+fTuqqqoCfBNWrlyJLVu2oLu7m/5ODAYDEhISIJFIoNfrsXjxYnz00UcBTbivGOeCbizweDw4cuQIDcSHDx+GUChEbW0tamtrUV9fj+LiYnzwwQcoKChAfn4+5ThyAXsrSOrDwU0woVCI7u5umM1mqNXqWQ89DAbJPmUyWUgfBhJA2Jkc+xwjSUrZ1ogno6bt8/moHWdeXh5lTkQz++GKeBqLhwpyfr8fbrcb6enpKCgogFwuj+u8vFhKFeQcDx48iKeeeoqWUBQKBe677z4sX748LufFhZnw2muv4d1336XG6z/84Q+xfv16rFmzBm+88QZaW1vB4/FQXFyMFStW4Le//S39v7t378Zdd91FzatWr16NlStXxuXcZ4izo6YbL4hEIhpg77nnHjqJdd++fWhsbMTq1atx5MgRlJeX46KLLkJdXR2EQiFnyhOfz6d2h6QxQTiRJpMJvb29sNlsSEhIQHp6OjXViYdZCtdxOcTSkh3s2ec4NjYWwEYggdjn86G9vR1SqRR1dXVxM3ghGB8fR1dXF3Jzc7Fw4cJp15tdZycG5CKRKOAcQw1sBE6wHsbGxqDRaOLCdRYIBEhKSkJSUhL1NPD5fCgpKYHD4UB3d3eAqi4Wj4RgmM1mtLa2IiMjA/X19Zxl7h9//DGeeOIJPPTQQ/jud78LPp9PvRvihaamJpSWlqK4uBgAsHz58pCZaFFREf72t78FfK+2thZms5n2Km688Uacd955Aa85//zzceTIkbid78nEuaDLAYSlsHTpUshkMuzZswd79+6FXC6n2fALL7xA6VWEslZbW8v54RGJRODz+RgfH0dqairq6+tpAGF7IyQmJgYEEK611+BxOWq1OuaHWiQSTWvUsf0bOjo64HK5KCfXYrFE9W/gCmLaw+fzIzb5wjUTSSAmzcRgsx/CR05PT0dDQ0Nct9Xsax9O5MCm17EXNHYgDrdYkMzfaDSiurqac/N2cnISDz30EBwOB/75z3/SxiGAaaPWZ4tQ3geNjY3TXvfee+/h888/h1qtxm9+8xvk5+efUr4J8cC5oBsjFi1ahK1bt9J/X3vttbj22msBTN38ra2taGxsxAcffICf//zn8Pl8mDdvHurr61FfX4+KioppjTSn0wmtVguv14uqqir60BCWBdsbgZDnR0ZGoNVqA2qv4Roj7HE59fX1cVUQicViMAyDiYkJFBYWIjc3l7IRgv0b2BxnrosF29Zxpm5dYrEYaWlp1BKSbfYzOTmJ1tZWeL1eqFQq8Hg8GAyGuC0WDocDra2tkMlkEa99KI8EsliwJeLBI4iIdWROTg7q6+s5j4f6+9//jl/+8pd4+OGHsXz58pPuQ8CFmXDllVfi5ptvhkQiwZYtW7BixQr861//OqV8E+KBc0E3RkT6ZQsEAlRXV6O6uhorV66kIouWlhY0NTXhmWeeoWYrdXV1qKmpwd69e1FdXY2rrrpqGgUs1HvL5XLI5XLk5OQACKy99vb20romCcCTk5PUgDqe43KAwFHn7Owz2I2LrbQaGhriPPHCZDKhvb0dqampnKlOXMDj8ehk3MnJSZSWliIrKyvsYsEOcrHsLPr6+jA8PAyNRjMj39bgxQJAwCy99vZ2eDweakKk1+upb3Q4TExMYM2aNfB6vfj00085O4nNFuE8EdhgLzh33HEHHnroIfp/TxXfhHjgXCPtKwahfz333HN46aWXUFxcDIvFgsLCQpoN19bW0qxrJnC73dDpdBgdHaXBZTYmOsGIx6hzdoPJZDIFyIYTExNhMBjoYhFPrjPA3VicbfZDGBNs+XU4WhhxMmNPz4gniOl6Xl4ecnJypo0gClbVkUV469at2LBhA9avX4+bbrrpK80WvV4v1Go1PvvsM+Tm5qKhoQFvvfUWqqqq6GuGh4dpieODDz7Ar371K+zdu/fr8E2IB8410k4V8Hg8pKenQyaT4eDBg8jKyoLf70dnZycaGxvx8ccfY8OGDbDb7aiqqqKBuLq6mhNdjNRWk5OTccEFF0AoFNLttMlkoko8r9c7zUSHS3AgxjfZ2dmzqn2yG0wEbrcbvb296OrqoosFKYvMdPQ7G7Eai7N3FoSrGk6EoFAo6Owwq9XKmTkQC7xeL62bs316ZTIZZDIZzVrZNEW9Xo8f//jH6O/vB4/Hw8qVK+PuzxGNCvbss8/ipZdegt/vR1VVFdLT03HnnXeiqqoKPB6P2q8SBSWpy7/22msAgJSUFPz85z+nkyceffTRUz3gRsS5TPcUhdvtxsGDB9HY2IimpiYcPXoUUqkUCxYsoIG4uLiYBj2n04muri64XC5oNJqo2WGoLA6YvuUnDycx7eHxeBGNb2YKm82Gtra2gFFK5HOxHdfYWRxZLLjUXs1mM53AG+/s0+fzYXBwED09PTRrjmb2Eyv0ej20Wm1MM9YYhsGHH36ITZs2Yf369Zg3bx5aWlqg0+nw2GOPzfhc2OBCBduxYwfOO+88JCQk4IUXXsDOnTvxl7/8BcAp55cQT5zj6Z7uYBgGRqMRzc3NaGxsRHNzM3Q6HbKzsyGVSjE8PIyXXnoJpaWlM84+yZafbXtJgpPT6aS1z3hzbom4RKPRROUjh/NGYKus2AYwPp8PXV1dMJlMJ6Wu7fV6odVq4XA4UFFRQYU3kcx+SDCO5oNBjkNoZuXl5Zwz/bGxMfzkJz+BSCTC7373u6j9gpkiVpOaAwcO4N5778UXX3wB4FzQDYVzQfcUxqFDh7BixQqUlpYiLy8P+/fvh9FohEajoSY/NTU1M86yJicn0d7eDoVCAalUCovFAqfTCZlMFrDln2mXf2JiAlqtdtbGOqHUajweDyKRCFarFdnZ2QG7gniBDG7kmn2ya68mk4mOfw9n9kMmCMcib2YYBu+//z42b96Mxx9/HNdee+1Jrd3GYlIDAPfeey+ysrLwyCOPADjlTGriiXM13TMRGRkZeP/99ynhHJjKvI4dO4a9e/fi7bffxkMPPQQej4f58+dTWbNGo4m4vSajzv1+P+bPnx8gm2Z7N0xMTNAuPzvTjOY54HK56ODDmcwQCwYxUCc1VJfLhba2Nng8HuTk5MBut6OpqSlAgKBSqcLyXqOBnD+AmAQgEokE6enpNOsMZ/Yjk8ngcDggEolQU1PDWSI8OjqKn/zkJ5DJZNixY0fcpyaHQix0rjfffBP79u3Drl276PdOF5OaeOJc0D2NwSazEwiFQtTU1KCmpgZ33XUXGIaB1WpFS0sLGhsbsWnTJnR0dCA1NRV1dXWoq6vDwoULkZWVBY/Hg0OHDlHFVKgtKY/Ho42bYEqYyWTC4OAgzTSDvX2BKbrP4OBg2OPPBmxTdDIKiQ2y5TeZTBgZGYHD4QgQSUSjW7FFDqGOHyvY1zIzM5Mev7u7G2lpaWAYBseOHQtr9kPg9/vx3nvv4emnn8YvfvELXHPNNV8ZM4ELFQwAPv30Uzz11FPYtWtXQImEvLa4uBhLlizBgQMHzvige1qXF/7617/i8ccfR2trK5qamqhDfDDCdVe7u7uxfPlyTE5Oora2Fn/+85/jLls9FUHMXJqamrB37140Nzejq6sLXq8XS5cuxfLly1FbWzsrT4DgsUgWiwUulwtyuRwFBQVISkqKazNuJsbibJEEOc9wrnDEj4E0+uJpXA6coLGJRCJq+EIQqnwCTAUyYKqump2djeeee27Wo96DEY2ZYLPZkJmZidTUVGRkZMBqteLdd99FVVUVNm7ciJdffhkejwcejwe7du1CWVkZ/b+noElNPHFm1nRbW1vB5/Nx11134emnnw4ZdCN1V2+88UZce+21WL58Oe6++27U1NTgnnvu+Ro+ydeLTZs24fPPP8f999+P4eFhNDU14cCBA9SbltSHKysrY67fEntBq9WKkpISKm0mNc3ZjkXy+Xx0Okd5efmsjcVDucI5nU74fD7k5uYiMzOTk2VjLO9HrCnVajXnoOnxePDcc89h27Zt1B1OKpXigw8+iNssNS7MhD/84Q/429/+hs7OTphMJmRkZODIkSO455578I9//APt7e1YunQpGhsbUV1dDQAoKCjA1q1bT0WTmnjizAy6BEuWLAkbdMN1V9euXYv09HSMjIxAKBROe93ZBJPJBKVSGXIq8oEDB2g2fOzYMcjlclobrq+vD+sBy3YaC9domu1YJCISyM7ORn5+ftwbZcQeMSUlBWlpaVT5x54aQr5iGcRJQCTCsWbPIyMjWLVqFVJSUvCb3/yGclbNZvOMLDjDgQsz4Tvf+Q4ef/xxLF68GF6vF1lZWRgfH8emTZsCXst+3VmCs7eRFs5oY2JiAklJSTCbzbjpppvQ2dmJ8fFxGAyGaQqrHTt24IEHHqD/bmtrwzvvvINrrrkGP/jBD7Br1y5KdXrttdcwf/78r+bDxQnhaFpSqRSLFy+mDwrxWGhubsbevXvxzjvvoK+vDwUFBdTkp66uDkNDQ2hra0NlZWXERlOoke/sUTQDAwN00nBwNtzZ2Qm3203ZGfEEyZ4NBgMqKyspzSwpKSlgagih1+l0OtjtdgiFQk5uZgzD0Np2LBJhv9+Pd955B8899xw2bNiAyy+/POD48R4fxMWkhv0a8vknJiYwODiIRYsWBfzf09mkJp445YPupZdeipGRkWnff+qpp3D11VdH/f/huqvk+5s2bcIll1yCV155BQ0NDdi0aRN+9atfBbz+4osvxsGDBwGAavW//e1v05//+te//jod6r8y8Hg8pKWlYdmyZVi2bBmAE/6tjY2N+Oc//4n7778fbrcb3/jGNzA2Ngar1Yp58+Zxrt9GGotkMpnQ19cHq9VKbS+JCXe8zN0NBgPa29ujGsgIhUIkJycHBMxQBjXB8muPx4PW1lYolcqY/CSGh4exatUqpKenY9euXTOSXscKLsyEaM9XpP97tuKUD7qkWTBThOuupqWlwWg04qOPPsLOnTvR09OD8vJyfPjhh9OCLhvvvvsuli1bFnen/9MVfD4fJSUlKCkpwX/+8x/ce++9+NGPfoS2tjY0Njbi1VdfxZEjR6gpDqkPxyLiIG5rPT09UCqVqK2thd/vpwGuv7+f1odnOhbJ4/FAq9XC6XTOOHsO5WZGKGGTk5Noa2uDy+VCUlISxGIxzGYzFApFxPP0+/1466238Pvf/x4bN27EZZdddkoxE8hr8vLy4PV6YTKZkJKSwpnVcDbijK/pRjLauOGGG7Bt2zbYbDbcfffdmDdvHtavXw+DwRD2vZYuXYoHH3wQV1xxBYCpWUx79uyBRCLBJZdcgk2bNsV1pM7pBIZhwm6nzWYzNYFvampCV1cXMjMzA+rDoQQAXI3FZzMWiYgQioqK4q64A05M+SUGOA6HI0CtxjbRIfJrgUCAoaEh3H///cjOzsYzzzwTF1P1UJicnMRNN92Enp4eFBUV4X//93+RnJwc8Ozo9XosWbIEWVlZSExMpKY5zz//PJ577jm43W74/X6YTCbs3LkTIpEI3/3ud9HU1IShoSFccskl0Gq1cTf/OYVxZjbSPvjgA9x3330YHx9HUlIS5s+fj48//hhDQ0O4/fbbsW3bNgDA/Pnz0draCoZhkJycTPmV9913H3784x+jqKgICxYswJtvvomsrKywQXd4eBjz5s3D0NAQ7eIPDw9DLBbjxhtvRHNzM9LT07Fv376Q2z+BQIC5c+cCONHBBc5O6hrh1DY2NtJG3cTEBNRqNa0Pm0wmdHR04JprrpnROPVoY5FkMhl6enogEAig0Wjifs3J/D29Xh/RAId9nmazGRs3bsSxY8dgNBrx/e9/HytXroRGozlp03h/9rOfISUlBWvXrsWmTZtgMBjobm/btm1YvXo1nE4nrr/+ejz77LN44IEH8Nprr6G7uxtSqRTl5eVwOp0oKCjAO++8Q8U6Tz31FF555RUIhUL89re/pSWpswRnZtCNBzQaDXbu3Ins7GwMDw9jyZIlVG0UjP/+7//GsWPH8Mc//jHg++SmXbRoEe6++25cffXVIUsU4XTm56hrU/D5fDh+/Dh27NiBLVu2wGKxoKCgABqNhmbD5eXls+LIEoHEwMAAJiYmIBKJAgzWowkkuIIY7KSnp8e0YAwMDOD+++9HTk4OrrvuOhw/fhzNzc3YvHkzioqKZn1eoRDLM0BQU1ODd999F2VlZafC5N1TEeeCbjisWbMGqampdJWfnJzE5s2bQ7520aJF2LhxIy6++GL6PXKT7tixA5s3b4bX68Unn3wS8qYNFXQZhjlHXQvCpk2bkJeXh+9+97sBJvCNjY1ob29HcnIyZUo0NDTENPjSbrejtbUViYmJlKbFNgYnAomZjkXy+/3Q6XQwGAwxGez4/X688cYbePHFF/HrX/8a3/rWt76y2m1SUhKMRiP9d3JycsQSW1NTE1asWIFjx46Bz+efK7GFxrmgGw4TExO48cYbKfXpr3/9K1JSUrBv3z5s2bKFGnn09PTgggsuQH9/f0DWsnTpUuzatQsVFRWYP38+tmzZgvz8/JA3bShzD71ej0WLFqGzsxMA0N/fj2XLluHo0aNfzQU4zUBM4MlsOlIznDNnToAJfDDv2O/3o6+vD6Ojo1GHTpL6sMlkgslkmjaSPtykC6PRiLa2NmRnZ6OgoIBz0Ozv78d9992H4uJibN68Oe7ULyAyC2jFihWcgy5JMl5//XVKCRseHkZWVhbcbjfuvPNOlJSU4NFHH437ZzjNcC7ozhbxuGmHhoYCzD0+++wzKJVKLF68GJ2dnZicnMTVV1+NpqYmXHTRRbShwcbBgwdxzz33wGw2QyAQ0IYGgDOCMzwTEBP4vXv3oqmpCS0tLXA6ndQEXi6XY+fOnXjooYcwZ86cGdVGw42kJ1aSBoMBDocDlZWVnJktfr8fr732Gv70pz/hmWeewSWXXPK10Kq4lhfMZjOWLFmCdevW4YYbbgh5rJ07d+Lpp5+eNtH3LMS5oHsyMZOaGKmDXXfddbS88PDDD8NisUCn0+Hiiy8OaGgQECPxsrIyDA0Noa6uDq2trUhKSjpXW2PB5XJh7969ePLJJ3H8+HEUFhaCYRjU1tbSjHimAZjA4/FgcHAQvb29tA7MdSxSX18f7r33XqjVamzevDnuPr+xgEuJze12Y9myZbjyyiuxevXqgJ+RMTsMw+CBBx6AVCqlirSzGGevIu2rwFVXXYXXX38da9euxeuvvx5StBFs7vHFF1/gZz/7GXg8Hi6++GK8++67+Oijj7Bw4UJcffXV+K//+i8sWbJkWtBVq9X07zk5OcjIyKDsjXM4AYlEAqFQiKuuugrbt28Hn8+H0WikteH3338f3d3dyM3NpUG4rq4OqampnLJNr9eLzs5OOBwOLFy4EDKZLOpYpNHRUZSXl+Mvf/kLXn31VTzzzDNYunTpSctuw1HBgvHMM88gMTERjz32GJRKJU0YPvroI9xxxx1QqVRITU1FS0sLJiYm6BgdspP63ve+h/HxcWrVuWXLlpPyec4YMAwT6escOECv1zNLly5lSktLmaVLlzITExMMwzBMc3Mzs3LlSoZhGOaLL75gqqurmXnz5jHV1dXMSy+9RP9/V1cX09DQwPD5fOb6669nnE4nwzAMk5SUFPF9GxsbmfLycsbn8zEMwzArVqxg1Go1M3fuXGb16tX0OOcQGj6fj+nu7mbefvtt5oEHHmAuvPBCZu7cucwNN9zAbNq0ifnss88YvV7P2Gy2gK/e3l7m008/ZbRaLWO1Wqf9nP1ltVqZ0dFRpqOjg7npppuYgoICJiMjg1m5ciXzyiuvMC6X66R9vjVr1jAbN25kGIZhNm7cyPzsZz8L+brExMSQ37/hhhuYt99+m2EYhrnrrruYP/zhDyfnRM9MhI2r54LuV4xLLrmEqaqqmvb14YcfMiqVKuC1kYLu0NAQo1armT179jAMwzD/+Mc/mOLiYqakpIT55S9/ydx6663ME088QV///9s7+5i4izSOf6dQEJMaQamWXmP3hSWwlKUtL62ReEsKGLRNSGClMSmBRokWNSat5xnlsEfhbGwJXImnXl9JAEEt1FxLjSlGYxMKEUReWrlStFoSYTdpxQu2K9/7A3Zut+xutyfLW+eTTMI8v/n9fjMLPDP7PDPPMz4+TovFQp1Ox6SkJF66dEleKysro06no8FgYEtLy8wOeIFx/fp1dnZ28u2332ZBQQHXrVvHhIQEPv3009y3bx8fe+wx1tbW0mq1elW2zuXatWusqKigyWRia2srx8bG+OWXX7KyslJOmP7AYDDwypUrJP/39+IOd0p3YmKC9913H2/cuEGSPHv2LNPT0/3W10WIUroLAV//Sa5evcq1a9eyoaGBJGm326nVannx4kX++uuvjIuL4+HDh/n444/Le6qrq1lYWEiSrKuro8ViIUn29vYyLi6O4+PjHBwcpFarpd1u9+cwFxQTExO8du0aS0tL+eCDDzI9PZ1Go5Fms5k7d+5kfX09L1686HHF29PTQ7PZzBdeeIFjY2Oz2ndfJ/GAgACuX7+eycnJPH78OElyZGSEOp1Otvn+++9pNBr919nFh0e9qmy68whfbMPXr19HVlYWtm3bJj3I586dg16vR0hICIKCgvDkk0/ivffeQ0pKiryvubkZJSUlAIDs7GwUFRWBJJqbm5Gbm4vg4GBoNBro9XqcO3fuTgrB5xVHGvYlS5agu7sb4eHhMsODIwj8u+++i59++gl6vV4eazaZTKirq0NNTQ0qKyuRkpLiF9utt101vuIuZY67bWsqYM0M4U0jz8HscEfji224pqaGgYGBNJlMsuzdu5fbt2+n2WxmbGwsV65cSYPBwJ9//lk+22g08vLly7Ku1Wo5MjLCHTt2sKamRsoLCgrY2Ng4SyNePNjtdvb29vLQoUMsLCzkQw89xJycHP7yyy9z1idfvzk5k5eXx8bGRmVe+P0o88JipqGhQSplkjx27BiLiopc2sTExExTuqOjo3zuuedclG56ejojIiKo0+mkE8aZffv2MTo6mmvWrGFqaiqHhobktSVLlsiJYPPmzTM5xAXHxMTEXHeBO3fudHGk7dq1a1obm80mHa4jIyPU6/Xs7e0lSWZnZ7s40qqrq2ep54sCj3rVPxE0FLPK7YTgA+AxBN9vv/2GL774ApWVlejr60NdXR36+vpcnrN27Vp0dHSgu7sb2dnZePnll+W1kJAQdHV1oaurSwbzuVPx51dxm82GtLQ0REZGIi0tze1BnNbWVpw6dQp79uxBcHAwXn31VRls6YknnsCyZcsQHx+PpKQkxMbGwmQywWw245VXXpHpeN58803s378fer0eVqt1MaXSmVu8aeQ5mR8Ut82NGzeo0Wg4ODgoHWk9PT0ubQ4cOODiSMvJySFJ9vT0SEfaBx98wJCQEOlIKysrY1lZmcf3fvXVV3z44Ydl3dPWI8XM4utWMAdWq5WhoaHS1OEwISj8ilrpLmYCAwNx4MABZGRkIDo6GhaLBUajEcXFxXLFuX37dlitVuj1euzfv1+eGDIajbBYLIiJicHzzz+PlJQUGdzlVilWDh486BKub3x8HAkJCdiwYQOKi4sRFRUFvV7v9nTSkSNHEB4ejvj4eMTHx8sYFwBw9OhRREZGIjIyEkePHp2Rz2gx0dzcjLy8PABAXl4empqavLZXgffnGd408pzMD4o5wxfbsIOamhomJye7HMD48ccfSZLffvstAwMDeebMGbnydtgJHRw+fJg7duyY9lyr1UqNRkOr1UqbzUaNRkObzTYTw1s03M5+bpI0m838+OOPZV0dopkV1EpXcWt8TbHy6aefYs+ePThx4oRLCD9H29HRUSxfvhxWqxVBQUHIzc1Fc3OzT304ffo00tLSEBYWhtDQUKSlpaGlpeV3jmzhsWnTJsTGxk4rvn6ODoaHh/HNN98gIyNDysrLy3H+/Hm0t7fDZrN5TU+lmHnUPl2FJDExEQMDAzImQX19PWpra13adHZ2orCwEC0tLVi+fLmUO8eW6O/vx9jYmHTIuMsiCwAffvghPv/8cxgMBlRUVGDVqlVuM9DeiVlkveUGfOCBB2SQmeHhYZffw800NDQgKytLZjoBIDMvBwcHIz8/H2+99dbMdVxxS9RKVyHxxTa8a9cujI2NIScnB/Hx8diyZQsAoL+/Xx4KKCkpQVxcPUUSSQAABBhJREFUnFS6wHRv/ubNmzE0NITu7m5s2rRJ2ih5U9S7gYEB7N2716Nt+KWXXpJ2YYPB4BL4JyAgQF5z9HMx4DhEA8DjIRoHdXV12Lp1q4tseHgYwORn3dTUhNjYWP91VjEdb7aHObCDKBYBN2+kv9UuCLvdznvuuYckWVtby2eeeUbKly1bxoqKCo+2YWeqqqqYn58v6wttN0VDQwNjYmIohGB7e7vHdu+//z5DQkK4dOlS6nQ6eYimqamJ4eHh1Ov1tFgsvHDhAiMiIqbFd3AcojEajXzqqadcDtEoZgx1OEIxe/iyhc1xUookP/roIyYnJ5OcdKStXr2aNpuNLS0tvOuuu6RSuZXy3rhxIz/55BNZX2hKt6+vj+fPn+ejjz7qUem6i7PhmIhUVLB5hXKkKWYPX8wUVVVVMBqNMJlMqKqqkjFaw8LC8PrrryMxMRF5eXlITExEWFgYAO/23e+++w6XLl1CamqqlDlvYbvVtqr5QHR0NKKiory2ccTZ0Gq1Lk5Kkjhz5owMYO/LVjLF3KAcaQq/kJmZiczMTBfZ7t275c/l5eUoLy93e29BQQEKCgrQ2Ng4LUGnp5Ne9fX1yM7Odkkg6RzIJS4uDsHBwVixYoXb/HMk8eKLL+LkyZO4++67ceTIEaxbtw7ApN20tLQUAPDaa69J+/Nc4M7R2NbWBqvVinvvvVdmSr5THZALAaV0FfMWX7ewAZNKt7q62kXmaKvVavHII48gNTUVx44dc3v/qVOnMDAwgIGBAbS1teHZZ59FW1sbbDYb3njjDXR0dEAIgfXr12PLli1uMzD4greoYN4cYg7I6Rm0hBAe5Yp5iDfbgyqqzGXB5KJgEIAGQBCArwEY3bSLAjCEqZx/U7JQAMFTP98PYADAJgA9Ht71DoCtTvULAFYA2ArgHU/t/DTuzwAkeLi2EcBpp/qfp4oAMAog0F07VeZPUTZdxbyFpB1AEYDTAPoBNJDsFULsFkI47wHbCqCeU9pmimgAHUKIrwG0AvgbgH97ed1KAJed6j9MyTzJ54p2AJFCCI0QIghALoATU2NvBeDISpoH4PZOUihmBWVeUMxrSJ4EcPImWfFN9RI3950FsMZZJoRY7eVV7r6L04t8xhFCZAH4O4BwAP8SQnSRzBBCRAD4J8lMknYhhGMiCgBwiGTv1CP+BKBeCFEKoBPAQX/0U/H7UEpXoZjkBwCrnOp/AHBlSv7Hm+Sf+aMDJI8DOO5GfgVAplN92kQ0JR8EkOSPvilmDmVeUCgmOQFgm5hkA4CrJIcxuaJMF0KECiFCAaRPyRSK/wu10lXcEQgh6jC5Yr1fCPEDgL8AWAoAJP+ByZVjJibtvv8BkD91zSaE+CsmbakAsJukbXZ7r1hMCFffg0KhUCj8yX8BADZkHEyFnY0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#绘制一个三维螺旋线\n",
    "ax = plt.axes(projection='3d')\n",
    " \n",
    "# Data for a three-dimensional line\n",
    "zline = np.linspace(0, 15, 1000)\n",
    "xline = np.sin(zline)\n",
    "yline = np.cos(zline)\n",
    "ax.plot3D(xline, yline, zline);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
